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Finding the Fourth Proportional to 282,038.73, 423,097.65 and 82,373.91

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Solution

The fourth proportional to 282,038.73, 423,097.65 and 82,373.91 is: 123,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,038.73 : 423,097.65 = 82,373.91 : x
  2. Step 2: Convert to fraction form
    282,038.73/423,097.65 = 82,373.91/x
  3. Step 3: Cross multiply
    282,038.73x = 423,097.65 × 82,373.91
  4. Step 4: Simplify right side
    282,038.73x = 34,852,207,742.31
  5. Step 5: Solve for x
    x = 34,852,207,742.31/282,038.73
  6. Step 6: Final answer
    x = 123,572.42

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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.