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Finding the Fourth Proportional to 185,082.51, 255,413.94 and 100,199.58

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Solution

The fourth proportional to 185,082.51, 255,413.94 and 100,199.58 is: 138,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,082.51 : 255,413.94 = 100,199.58 : x
  2. Step 2: Convert to fraction form
    185,082.51/255,413.94 = 100,199.58/x
  3. Step 3: Cross multiply
    185,082.51x = 255,413.94 × 100,199.58
  4. Step 4: Simplify right side
    185,082.51x = 25,592,369,514.15
  5. Step 5: Solve for x
    x = 25,592,369,514.15/185,082.51
  6. Step 6: Final answer
    x = 138,275.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.