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Finding the Fourth Proportional to 109,957.50, 151,741.35 and 59,656.50

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Solution

The fourth proportional to 109,957.50, 151,741.35 and 59,656.50 is: 82,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,957.50 : 151,741.35 = 59,656.50 : x
  2. Step 2: Convert to fraction form
    109,957.50/151,741.35 = 59,656.50/x
  3. Step 3: Cross multiply
    109,957.50x = 151,741.35 × 59,656.50
  4. Step 4: Simplify right side
    109,957.50x = 9,052,357,846.28
  5. Step 5: Solve for x
    x = 9,052,357,846.28/109,957.50
  6. Step 6: Final answer
    x = 82,325.97

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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.