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Finding the Fourth Proportional to 166,471.86, 249,732.65 and 61,282.83

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Solution

The fourth proportional to 166,471.86, 249,732.65 and 61,282.83 is: 91,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,471.86 : 249,732.65 = 61,282.83 : x
  2. Step 2: Convert to fraction form
    166,471.86/249,732.65 = 61,282.83/x
  3. Step 3: Cross multiply
    166,471.86x = 249,732.65 × 61,282.83
  4. Step 4: Simplify right side
    166,471.86x = 15,304,323,535.40
  5. Step 5: Solve for x
    x = 15,304,323,535.40/166,471.86
  6. Step 6: Final answer
    x = 91,933.40

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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.