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Finding the Fourth Proportional to 141,356.40, 195,084.30 and 77,706.60

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Solution

The fourth proportional to 141,356.40, 195,084.30 and 77,706.60 is: 107,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,356.40 : 195,084.30 = 77,706.60 : x
  2. Step 2: Convert to fraction form
    141,356.40/195,084.30 = 77,706.60/x
  3. Step 3: Cross multiply
    141,356.40x = 195,084.30 × 77,706.60
  4. Step 4: Simplify right side
    141,356.40x = 15,159,337,666.38
  5. Step 5: Solve for x
    x = 15,159,337,666.38/141,356.40
  6. Step 6: Final answer
    x = 107,241.96

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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.