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Finding the Fourth Proportional to 141,877.80, 212,708.70 and 71,807.40

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Solution

The fourth proportional to 141,877.80, 212,708.70 and 71,807.40 is: 107,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,877.80 : 212,708.70 = 71,807.40 : x
  2. Step 2: Convert to fraction form
    141,877.80/212,708.70 = 71,807.40/x
  3. Step 3: Cross multiply
    141,877.80x = 212,708.70 × 71,807.40
  4. Step 4: Simplify right side
    141,877.80x = 15,274,058,704.38
  5. Step 5: Solve for x
    x = 15,274,058,704.38/141,877.80
  6. Step 6: Final answer
    x = 107,656.44

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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.