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Finding the Fourth Proportional to 111,778.52, 154,241.42 and 64,029.02

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Solution

The fourth proportional to 111,778.52, 154,241.42 and 64,029.02 is: 88,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,778.52 : 154,241.42 = 64,029.02 : x
  2. Step 2: Convert to fraction form
    111,778.52/154,241.42 = 64,029.02/x
  3. Step 3: Cross multiply
    111,778.52x = 154,241.42 × 64,029.02
  4. Step 4: Simplify right side
    111,778.52x = 9,875,926,966.01
  5. Step 5: Solve for x
    x = 9,875,926,966.01/111,778.52
  6. Step 6: Final answer
    x = 88,352.64

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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.