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Finding the Fourth Proportional to 100,303.16, 138,413.22 and 57,859.16

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Solution

The fourth proportional to 100,303.16, 138,413.22 and 57,859.16 is: 79,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303.16 : 138,413.22 = 57,859.16 : x
  2. Step 2: Convert to fraction form
    100,303.16/138,413.22 = 57,859.16/x
  3. Step 3: Cross multiply
    100,303.16x = 138,413.22 × 57,859.16
  4. Step 4: Simplify right side
    100,303.16x = 8,008,472,642.10
  5. Step 5: Solve for x
    x = 8,008,472,642.10/100,303.16
  6. Step 6: Final answer
    x = 79,842.68

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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.