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Finding the Fourth Proportional to 242,568.60, 334,741.02 and 140,607.96

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Solution

The fourth proportional to 242,568.60, 334,741.02 and 140,607.96 is: 194,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568.60 : 334,741.02 = 140,607.96 : x
  2. Step 2: Convert to fraction form
    242,568.60/334,741.02 = 140,607.96/x
  3. Step 3: Cross multiply
    242,568.60x = 334,741.02 × 140,607.96
  4. Step 4: Simplify right side
    242,568.60x = 47,067,251,950.52
  5. Step 5: Solve for x
    x = 47,067,251,950.52/242,568.60
  6. Step 6: Final answer
    x = 194,036.87

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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.