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Finding the Fourth Proportional to 156,737.70, 235,106.55 and 97,542.90

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Solution

The fourth proportional to 156,737.70, 235,106.55 and 97,542.90 is: 146,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,737.70 : 235,106.55 = 97,542.90 : x
  2. Step 2: Convert to fraction form
    156,737.70/235,106.55 = 97,542.90/x
  3. Step 3: Cross multiply
    156,737.70x = 235,106.55 × 97,542.90
  4. Step 4: Simplify right side
    156,737.70x = 22,932,974,696.00
  5. Step 5: Solve for x
    x = 22,932,974,696.00/156,737.70
  6. Step 6: Final answer
    x = 146,314.35

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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.