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Finding the Fourth Proportional to 215,347.50, 323,023.98 and 75,106.13

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Solution

The fourth proportional to 215,347.50, 323,023.98 and 75,106.13 is: 112,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,347.50 : 323,023.98 = 75,106.13 : x
  2. Step 2: Convert to fraction form
    215,347.50/323,023.98 = 75,106.13/x
  3. Step 3: Cross multiply
    215,347.50x = 323,023.98 × 75,106.13
  4. Step 4: Simplify right side
    215,347.50x = 24,261,079,701.53
  5. Step 5: Solve for x
    x = 24,261,079,701.53/215,347.50
  6. Step 6: Final answer
    x = 112,660.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.