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Finding the Fourth Proportional to 177,882.60, 266,732.70 and 53,207.40

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Solution

The fourth proportional to 177,882.60, 266,732.70 and 53,207.40 is: 79,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,882.60 : 266,732.70 = 53,207.40 : x
  2. Step 2: Convert to fraction form
    177,882.60/266,732.70 = 53,207.40/x
  3. Step 3: Cross multiply
    177,882.60x = 266,732.70 × 53,207.40
  4. Step 4: Simplify right side
    177,882.60x = 14,192,153,461.98
  5. Step 5: Solve for x
    x = 14,192,153,461.98/177,882.60
  6. Step 6: Final answer
    x = 79,783.82

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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.