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Finding the Fourth Proportional to 249,892.83, 344,896.50 and 147,974.87

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Solution

The fourth proportional to 249,892.83, 344,896.50 and 147,974.87 is: 204,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,892.83 : 344,896.50 = 147,974.87 : x
  2. Step 2: Convert to fraction form
    249,892.83/344,896.50 = 147,974.87/x
  3. Step 3: Cross multiply
    249,892.83x = 344,896.50 × 147,974.87
  4. Step 4: Simplify right side
    249,892.83x = 51,036,013,026.47
  5. Step 5: Solve for x
    x = 51,036,013,026.47/249,892.83
  6. Step 6: Final answer
    x = 204,231.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.