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Finding the Fourth Proportional to 161,712.70, 242,569.05 and 157,104.70

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Solution

The fourth proportional to 161,712.70, 242,569.05 and 157,104.70 is: 235,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,712.70 : 242,569.05 = 157,104.70 : x
  2. Step 2: Convert to fraction form
    161,712.70/242,569.05 = 157,104.70/x
  3. Step 3: Cross multiply
    161,712.70x = 242,569.05 × 157,104.70
  4. Step 4: Simplify right side
    161,712.70x = 38,108,737,829.54
  5. Step 5: Solve for x
    x = 38,108,737,829.54/161,712.70
  6. Step 6: Final answer
    x = 235,657.05

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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.