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Finding the Fourth Proportional to 249,697.38, 374,468.31 and 83,446.50

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Solution

The fourth proportional to 249,697.38, 374,468.31 and 83,446.50 is: 125,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,697.38 : 374,468.31 = 83,446.50 : x
  2. Step 2: Convert to fraction form
    249,697.38/374,468.31 = 83,446.50/x
  3. Step 3: Cross multiply
    249,697.38x = 374,468.31 × 83,446.50
  4. Step 4: Simplify right side
    249,697.38x = 31,248,069,830.42
  5. Step 5: Solve for x
    x = 31,248,069,830.42/249,697.38
  6. Step 6: Final answer
    x = 125,143.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.