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Finding the Fourth Proportional to 157,098.61, 235,612.41 and 44,776.41

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Solution

The fourth proportional to 157,098.61, 235,612.41 and 44,776.41 is: 67,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,098.61 : 235,612.41 = 44,776.41 : x
  2. Step 2: Convert to fraction form
    157,098.61/235,612.41 = 44,776.41/x
  3. Step 3: Cross multiply
    157,098.61x = 235,612.41 × 44,776.41
  4. Step 4: Simplify right side
    157,098.61x = 10,549,876,693.19
  5. Step 5: Solve for x
    x = 10,549,876,693.19/157,098.61
  6. Step 6: Final answer
    x = 67,154.49

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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.