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Finding the Fourth Proportional to 111,493.86, 153,861.58 and 63,748.14

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Solution

The fourth proportional to 111,493.86, 153,861.58 and 63,748.14 is: 87,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,493.86 : 153,861.58 = 63,748.14 : x
  2. Step 2: Convert to fraction form
    111,493.86/153,861.58 = 63,748.14/x
  3. Step 3: Cross multiply
    111,493.86x = 153,861.58 × 63,748.14
  4. Step 4: Simplify right side
    111,493.86x = 9,808,389,542.46
  5. Step 5: Solve for x
    x = 9,808,389,542.46/111,493.86
  6. Step 6: Final answer
    x = 87,972.46

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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.