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Finding the Fourth Proportional to 249,694.38, 374,463.81 and 83,443.50

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Solution

The fourth proportional to 249,694.38, 374,463.81 and 83,443.50 is: 125,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,694.38 : 374,463.81 = 83,443.50 : x
  2. Step 2: Convert to fraction form
    249,694.38/374,463.81 = 83,443.50/x
  3. Step 3: Cross multiply
    249,694.38x = 374,463.81 × 83,443.50
  4. Step 4: Simplify right side
    249,694.38x = 31,246,570,929.74
  5. Step 5: Solve for x
    x = 31,246,570,929.74/249,694.38
  6. Step 6: Final answer
    x = 125,139.26

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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.