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Finding the Fourth Proportional to 282,070.92, 423,022.14 and 148,877.76

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Solution

The fourth proportional to 282,070.92, 423,022.14 and 148,877.76 is: 223,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,070.92 : 423,022.14 = 148,877.76 : x
  2. Step 2: Convert to fraction form
    282,070.92/423,022.14 = 148,877.76/x
  3. Step 3: Cross multiply
    282,070.92x = 423,022.14 × 148,877.76
  4. Step 4: Simplify right side
    282,070.92x = 62,978,588,633.61
  5. Step 5: Solve for x
    x = 62,978,588,633.61/282,070.92
  6. Step 6: Final answer
    x = 223,272.18

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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.