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Finding the Fourth Proportional to 166,057.40, 249,061.80 and 47,716.40

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Solution

The fourth proportional to 166,057.40, 249,061.80 and 47,716.40 is: 71,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,057.40 : 249,061.80 = 47,716.40 : x
  2. Step 2: Convert to fraction form
    166,057.40/249,061.80 = 47,716.40/x
  3. Step 3: Cross multiply
    166,057.40x = 249,061.80 × 47,716.40
  4. Step 4: Simplify right side
    166,057.40x = 11,884,332,473.52
  5. Step 5: Solve for x
    x = 11,884,332,473.52/166,057.40
  6. Step 6: Final answer
    x = 71,567.62

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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.