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Finding the Fourth Proportional to 212,432.76, 293,154.93 and 116,937.42

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Solution

The fourth proportional to 212,432.76, 293,154.93 and 116,937.42 is: 161,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,432.76 : 293,154.93 = 116,937.42 : x
  2. Step 2: Convert to fraction form
    212,432.76/293,154.93 = 116,937.42/x
  3. Step 3: Cross multiply
    212,432.76x = 293,154.93 × 116,937.42
  4. Step 4: Simplify right side
    212,432.76x = 34,280,781,174.48
  5. Step 5: Solve for x
    x = 34,280,781,174.48/212,432.76
  6. Step 6: Final answer
    x = 161,372.39

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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.