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Finding the Fourth Proportional to 153,691.12, 212,094.96 and 85,712.50

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Solution

The fourth proportional to 153,691.12, 212,094.96 and 85,712.50 is: 118,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,691.12 : 212,094.96 = 85,712.50 : x
  2. Step 2: Convert to fraction form
    153,691.12/212,094.96 = 85,712.50/x
  3. Step 3: Cross multiply
    153,691.12x = 212,094.96 × 85,712.50
  4. Step 4: Simplify right side
    153,691.12x = 18,179,189,259
  5. Step 5: Solve for x
    x = 18,179,189,259/153,691.12
  6. Step 6: Final answer
    x = 118,283.93

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