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Finding the Fourth Proportional to 141,902.98, 212,792.78 and 40,678.74

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Solution

The fourth proportional to 141,902.98, 212,792.78 and 40,678.74 is: 61,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,902.98 : 212,792.78 = 40,678.74 : x
  2. Step 2: Convert to fraction form
    141,902.98/212,792.78 = 40,678.74/x
  3. Step 3: Cross multiply
    141,902.98x = 212,792.78 × 40,678.74
  4. Step 4: Simplify right side
    141,902.98x = 8,656,142,171.50
  5. Step 5: Solve for x
    x = 8,656,142,171.50/141,902.98
  6. Step 6: Final answer
    x = 61,000.43

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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.