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Finding the Fourth Proportional to 231,047.76, 346,704.76 and 97,917.52

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Solution

The fourth proportional to 231,047.76, 346,704.76 and 97,917.52 is: 146,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,047.76 : 346,704.76 = 97,917.52 : x
  2. Step 2: Convert to fraction form
    231,047.76/346,704.76 = 97,917.52/x
  3. Step 3: Cross multiply
    231,047.76x = 346,704.76 × 97,917.52
  4. Step 4: Simplify right side
    231,047.76x = 33,948,470,271.40
  5. Step 5: Solve for x
    x = 33,948,470,271.40/231,047.76
  6. Step 6: Final answer
    x = 146,932.70

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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.