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Finding the Fourth Proportional to 119,011.92, 178,328.16 and 62,849.76

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Solution

The fourth proportional to 119,011.92, 178,328.16 and 62,849.76 is: 94,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,011.92 : 178,328.16 = 62,849.76 : x
  2. Step 2: Convert to fraction form
    119,011.92/178,328.16 = 62,849.76/x
  3. Step 3: Cross multiply
    119,011.92x = 178,328.16 × 62,849.76
  4. Step 4: Simplify right side
    119,011.92x = 11,207,882,057.24
  5. Step 5: Solve for x
    x = 11,207,882,057.24/119,011.92
  6. Step 6: Final answer
    x = 94,174.45

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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.