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Finding the Fourth Proportional to 102,711.70, 144,211.10 and 102,711.70

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Solution

The fourth proportional to 102,711.70, 144,211.10 and 102,711.70 is: 144,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711.70 : 144,211.10 = 102,711.70 : x
  2. Step 2: Convert to fraction form
    102,711.70/144,211.10 = 102,711.70/x
  3. Step 3: Cross multiply
    102,711.70x = 144,211.10 × 102,711.70
  4. Step 4: Simplify right side
    102,711.70x = 14,812,167,239.87
  5. Step 5: Solve for x
    x = 14,812,167,239.87/102,711.70
  6. Step 6: Final answer
    x = 144,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.