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Finding the Fourth Proportional to 176,507.74, 264,769.71 and 86,631.76

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Solution

The fourth proportional to 176,507.74, 264,769.71 and 86,631.76 is: 129,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,507.74 : 264,769.71 = 86,631.76 : x
  2. Step 2: Convert to fraction form
    176,507.74/264,769.71 = 86,631.76/x
  3. Step 3: Cross multiply
    176,507.74x = 264,769.71 × 86,631.76
  4. Step 4: Simplify right side
    176,507.74x = 22,937,465,971.99
  5. Step 5: Solve for x
    x = 22,937,465,971.99/176,507.74
  6. Step 6: Final answer
    x = 129,951.62

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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.