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Finding the Fourth Proportional to 315,763.92, 473,720.28 and 102,531.06

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Solution

The fourth proportional to 315,763.92, 473,720.28 and 102,531.06 is: 153,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,763.92 : 473,720.28 = 102,531.06 : x
  2. Step 2: Convert to fraction form
    315,763.92/473,720.28 = 102,531.06/x
  3. Step 3: Cross multiply
    315,763.92x = 473,720.28 × 102,531.06
  4. Step 4: Simplify right side
    315,763.92x = 48,571,042,451.90
  5. Step 5: Solve for x
    x = 48,571,042,451.90/315,763.92
  6. Step 6: Final answer
    x = 153,820.75

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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.