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Finding the Fourth Proportional to 102,704.62, 153,990.97 and 42,774.65

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Solution

The fourth proportional to 102,704.62, 153,990.97 and 42,774.65 is: 64,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.62 : 153,990.97 = 42,774.65 : x
  2. Step 2: Convert to fraction form
    102,704.62/153,990.97 = 42,774.65/x
  3. Step 3: Cross multiply
    102,704.62x = 153,990.97 × 42,774.65
  4. Step 4: Simplify right side
    102,704.62x = 6,586,909,844.91
  5. Step 5: Solve for x
    x = 6,586,909,844.91/102,704.62
  6. Step 6: Final answer
    x = 64,134.50

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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.