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Finding the Fourth Proportional to 212,737.86, 293,572.49 and 117,244.53

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Solution

The fourth proportional to 212,737.86, 293,572.49 and 117,244.53 is: 161,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,737.86 : 293,572.49 = 117,244.53 : x
  2. Step 2: Convert to fraction form
    212,737.86/293,572.49 = 117,244.53/x
  3. Step 3: Cross multiply
    212,737.86x = 293,572.49 × 117,244.53
  4. Step 4: Simplify right side
    212,737.86x = 34,419,768,024.76
  5. Step 5: Solve for x
    x = 34,419,768,024.76/212,737.86
  6. Step 6: Final answer
    x = 161,794.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.