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Finding the Fourth Proportional to 166,238.80, 249,359.16 and 55,430.48

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Solution

The fourth proportional to 166,238.80, 249,359.16 and 55,430.48 is: 83,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,238.80 : 249,359.16 = 55,430.48 : x
  2. Step 2: Convert to fraction form
    166,238.80/249,359.16 = 55,430.48/x
  3. Step 3: Cross multiply
    166,238.80x = 249,359.16 × 55,430.48
  4. Step 4: Simplify right side
    166,238.80x = 13,822,097,931.20
  5. Step 5: Solve for x
    x = 13,822,097,931.20/166,238.80
  6. Step 6: Final answer
    x = 83,146.04

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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.