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Finding the Fourth Proportional to 282,444.74, 423,666.75 and 72,082.68

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Solution

The fourth proportional to 282,444.74, 423,666.75 and 72,082.68 is: 108,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,444.74 : 423,666.75 = 72,082.68 : x
  2. Step 2: Convert to fraction form
    282,444.74/423,666.75 = 72,082.68/x
  3. Step 3: Cross multiply
    282,444.74x = 423,666.75 × 72,082.68
  4. Step 4: Simplify right side
    282,444.74x = 30,539,034,766.89
  5. Step 5: Solve for x
    x = 30,539,034,766.89/282,444.74
  6. Step 6: Final answer
    x = 108,123.93

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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.