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Finding the Fourth Proportional to 153,693.11, 212,097.42 and 85,714.40

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Solution

The fourth proportional to 153,693.11, 212,097.42 and 85,714.40 is: 118,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,693.11 : 212,097.42 = 85,714.40 : x
  2. Step 2: Convert to fraction form
    153,693.11/212,097.42 = 85,714.40/x
  3. Step 3: Cross multiply
    153,693.11x = 212,097.42 × 85,714.40
  4. Step 4: Simplify right side
    153,693.11x = 18,179,803,096.85
  5. Step 5: Solve for x
    x = 18,179,803,096.85/153,693.11
  6. Step 6: Final answer
    x = 118,286.39

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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.