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Finding the Fourth Proportional to 265,282.56, 398,062.08 and 117,504

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Solution

The fourth proportional to 265,282.56, 398,062.08 and 117,504 is: 176,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,282.56 : 398,062.08 = 117,504 : x
  2. Step 2: Convert to fraction form
    265,282.56/398,062.08 = 117,504/x
  3. Step 3: Cross multiply
    265,282.56x = 398,062.08 × 117,504
  4. Step 4: Simplify right side
    265,282.56x = 46,773,886,648.32
  5. Step 5: Solve for x
    x = 46,773,886,648.32/265,282.56
  6. Step 6: Final answer
    x = 176,317.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.