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Finding the Fourth Proportional to 153,691.12, 212,094.66 and 85,712.38

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Solution

The fourth proportional to 153,691.12, 212,094.66 and 85,712.38 is: 118,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,691.12 : 212,094.66 = 85,712.38 : x
  2. Step 2: Convert to fraction form
    153,691.12/212,094.66 = 85,712.38/x
  3. Step 3: Cross multiply
    153,691.12x = 212,094.66 × 85,712.38
  4. Step 4: Simplify right side
    153,691.12x = 18,179,138,093.89
  5. Step 5: Solve for x
    x = 18,179,138,093.89/153,691.12
  6. Step 6: Final answer
    x = 118,283.59

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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.