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Finding the Fourth Proportional to 166,507.65, 249,892.70 and 61,400.43

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Solution

The fourth proportional to 166,507.65, 249,892.70 and 61,400.43 is: 92,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,507.65 : 249,892.70 = 61,400.43 : x
  2. Step 2: Convert to fraction form
    166,507.65/249,892.70 = 61,400.43/x
  3. Step 3: Cross multiply
    166,507.65x = 249,892.70 × 61,400.43
  4. Step 4: Simplify right side
    166,507.65x = 15,343,518,926.86
  5. Step 5: Solve for x
    x = 15,343,518,926.86/166,507.65
  6. Step 6: Final answer
    x = 92,149.03

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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.