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Finding the Fourth Proportional to 166,732.32, 249,981.84 and 83,580.96

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Solution

The fourth proportional to 166,732.32, 249,981.84 and 83,580.96 is: 125,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,732.32 : 249,981.84 = 83,580.96 : x
  2. Step 2: Convert to fraction form
    166,732.32/249,981.84 = 83,580.96/x
  3. Step 3: Cross multiply
    166,732.32x = 249,981.84 × 83,580.96
  4. Step 4: Simplify right side
    166,732.32x = 20,893,722,169.77
  5. Step 5: Solve for x
    x = 20,893,722,169.77/166,732.32
  6. Step 6: Final answer
    x = 125,312.97

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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.