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Finding the Fourth Proportional to 166,697.16, 249,754.20 and 138,796.60

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Solution

The fourth proportional to 166,697.16, 249,754.20 and 138,796.60 is: 207,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,697.16 : 249,754.20 = 138,796.60 : x
  2. Step 2: Convert to fraction form
    166,697.16/249,754.20 = 138,796.60/x
  3. Step 3: Cross multiply
    166,697.16x = 249,754.20 × 138,796.60
  4. Step 4: Simplify right side
    166,697.16x = 34,665,033,795.72
  5. Step 5: Solve for x
    x = 34,665,033,795.72/166,697.16
  6. Step 6: Final answer
    x = 207,952.16

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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.