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Finding the Fourth Proportional to 157,162.59, 235,737.63 and 38,830.86

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Solution

The fourth proportional to 157,162.59, 235,737.63 and 38,830.86 is: 58,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,162.59 : 235,737.63 = 38,830.86 : x
  2. Step 2: Convert to fraction form
    157,162.59/235,737.63 = 38,830.86/x
  3. Step 3: Cross multiply
    157,162.59x = 235,737.63 × 38,830.86
  4. Step 4: Simplify right side
    157,162.59x = 9,153,894,907.26
  5. Step 5: Solve for x
    x = 9,153,894,907.26/157,162.59
  6. Step 6: Final answer
    x = 58,244.74

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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.