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Finding the Fourth Proportional to 153,663.78, 212,035.14 and 85,672.38

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Solution

The fourth proportional to 153,663.78, 212,035.14 and 85,672.38 is: 118,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,663.78 : 212,035.14 = 85,672.38 : x
  2. Step 2: Convert to fraction form
    153,663.78/212,035.14 = 85,672.38/x
  3. Step 3: Cross multiply
    153,663.78x = 212,035.14 × 85,672.38
  4. Step 4: Simplify right side
    153,663.78x = 18,165,555,087.43
  5. Step 5: Solve for x
    x = 18,165,555,087.43/153,663.78
  6. Step 6: Final answer
    x = 118,216.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.