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Finding the Fourth Proportional to 508,920.16, 763,321.92 and 134,972.32

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Solution

The fourth proportional to 508,920.16, 763,321.92 and 134,972.32 is: 202,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,920.16 : 763,321.92 = 134,972.32 : x
  2. Step 2: Convert to fraction form
    508,920.16/763,321.92 = 134,972.32/x
  3. Step 3: Cross multiply
    508,920.16x = 763,321.92 × 134,972.32
  4. Step 4: Simplify right side
    508,920.16x = 103,027,330,449.25
  5. Step 5: Solve for x
    x = 103,027,330,449.25/508,920.16
  6. Step 6: Final answer
    x = 202,443.01

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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.