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Finding the Fourth Proportional to 166,502.40, 249,753.60 and 152,724.30

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Solution

The fourth proportional to 166,502.40, 249,753.60 and 152,724.30 is: 229,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,502.40 : 249,753.60 = 152,724.30 : x
  2. Step 2: Convert to fraction form
    166,502.40/249,753.60 = 152,724.30/x
  3. Step 3: Cross multiply
    166,502.40x = 249,753.60 × 152,724.30
  4. Step 4: Simplify right side
    166,502.40x = 38,143,443,732.48
  5. Step 5: Solve for x
    x = 38,143,443,732.48/166,502.40
  6. Step 6: Final answer
    x = 229,086.45

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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.