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Finding the Fourth Proportional to 107,337.60, 160,942.40 and 65,814.40

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Solution

The fourth proportional to 107,337.60, 160,942.40 and 65,814.40 is: 98,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,337.60 : 160,942.40 = 65,814.40 : x
  2. Step 2: Convert to fraction form
    107,337.60/160,942.40 = 65,814.40/x
  3. Step 3: Cross multiply
    107,337.60x = 160,942.40 × 65,814.40
  4. Step 4: Simplify right side
    107,337.60x = 10,592,327,490.56
  5. Step 5: Solve for x
    x = 10,592,327,490.56/107,337.60
  6. Step 6: Final answer
    x = 98,682.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.