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Finding the Fourth Proportional to 166,442.68, 249,657.54 and 91,711

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Solution

The fourth proportional to 166,442.68, 249,657.54 and 91,711 is: 137,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,442.68 : 249,657.54 = 91,711 : x
  2. Step 2: Convert to fraction form
    166,442.68/249,657.54 = 91,711/x
  3. Step 3: Cross multiply
    166,442.68x = 249,657.54 × 91,711
  4. Step 4: Simplify right side
    166,442.68x = 22,896,342,650.94
  5. Step 5: Solve for x
    x = 22,896,342,650.94/166,442.68
  6. Step 6: Final answer
    x = 137,562.93

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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.