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Finding the Fourth Proportional to 249,333.50, 344,105.14 and 148,731.50

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Solution

The fourth proportional to 249,333.50, 344,105.14 and 148,731.50 is: 205,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,333.50 : 344,105.14 = 148,731.50 : x
  2. Step 2: Convert to fraction form
    249,333.50/344,105.14 = 148,731.50/x
  3. Step 3: Cross multiply
    249,333.50x = 344,105.14 × 148,731.50
  4. Step 4: Simplify right side
    249,333.50x = 51,179,273,629.91
  5. Step 5: Solve for x
    x = 51,179,273,629.91/249,333.50
  6. Step 6: Final answer
    x = 205,264.33

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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.