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Finding the Fourth Proportional to 100,946.65, 151,225.92 and 56,438.42

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Solution

The fourth proportional to 100,946.65, 151,225.92 and 56,438.42 is: 84,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,946.65 : 151,225.92 = 56,438.42 : x
  2. Step 2: Convert to fraction form
    100,946.65/151,225.92 = 56,438.42/x
  3. Step 3: Cross multiply
    100,946.65x = 151,225.92 × 56,438.42
  4. Step 4: Simplify right side
    100,946.65x = 8,534,951,987.85
  5. Step 5: Solve for x
    x = 8,534,951,987.85/100,946.65
  6. Step 6: Final answer
    x = 84,549.14

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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.