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Finding the Fourth Proportional to 187,966.66, 282,023.70 and 82,711.76

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Solution

The fourth proportional to 187,966.66, 282,023.70 and 82,711.76 is: 124,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,966.66 : 282,023.70 = 82,711.76 : x
  2. Step 2: Convert to fraction form
    187,966.66/282,023.70 = 82,711.76/x
  3. Step 3: Cross multiply
    187,966.66x = 282,023.70 × 82,711.76
  4. Step 4: Simplify right side
    187,966.66x = 23,326,676,588.71
  5. Step 5: Solve for x
    x = 23,326,676,588.71/187,966.66
  6. Step 6: Final answer
    x = 124,100.07

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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.