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Finding the Fourth Proportional to 177,686.87, 266,572.42 and 53,024.63

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Solution

The fourth proportional to 177,686.87, 266,572.42 and 53,024.63 is: 79,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,686.87 : 266,572.42 = 53,024.63 : x
  2. Step 2: Convert to fraction form
    177,686.87/266,572.42 = 53,024.63/x
  3. Step 3: Cross multiply
    177,686.87x = 266,572.42 × 53,024.63
  4. Step 4: Simplify right side
    177,686.87x = 14,134,902,473.28
  5. Step 5: Solve for x
    x = 14,134,902,473.28/177,686.87
  6. Step 6: Final answer
    x = 79,549.51

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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.