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Finding the Fourth Proportional to 109,957.78, 151,742.19 and 59,656.78

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Solution

The fourth proportional to 109,957.78, 151,742.19 and 59,656.78 is: 82,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,957.78 : 151,742.19 = 59,656.78 : x
  2. Step 2: Convert to fraction form
    109,957.78/151,742.19 = 59,656.78/x
  3. Step 3: Cross multiply
    109,957.78x = 151,742.19 × 59,656.78
  4. Step 4: Simplify right side
    109,957.78x = 9,052,450,445.55
  5. Step 5: Solve for x
    x = 9,052,450,445.55/109,957.78
  6. Step 6: Final answer
    x = 82,326.60

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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.