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Finding the Fourth Proportional to 109,283.52, 150,811.68 and 61,538.88

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Solution

The fourth proportional to 109,283.52, 150,811.68 and 61,538.88 is: 84,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,283.52 : 150,811.68 = 61,538.88 : x
  2. Step 2: Convert to fraction form
    109,283.52/150,811.68 = 61,538.88/x
  3. Step 3: Cross multiply
    109,283.52x = 150,811.68 × 61,538.88
  4. Step 4: Simplify right side
    109,283.52x = 9,280,781,878.12
  5. Step 5: Solve for x
    x = 9,280,781,878.12/109,283.52
  6. Step 6: Final answer
    x = 84,923.89

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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.