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Finding the Fourth Proportional to 153,697.38, 212,101.97 and 85,714.43

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Solution

The fourth proportional to 153,697.38, 212,101.97 and 85,714.43 is: 118,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,697.38 : 212,101.97 = 85,714.43 : x
  2. Step 2: Convert to fraction form
    153,697.38/212,101.97 = 85,714.43/x
  3. Step 3: Cross multiply
    153,697.38x = 212,101.97 × 85,714.43
  4. Step 4: Simplify right side
    153,697.38x = 18,180,199,460.43
  5. Step 5: Solve for x
    x = 18,180,199,460.43/153,697.38
  6. Step 6: Final answer
    x = 118,285.68

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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.