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Finding the Fourth Proportional to 215,108.42, 322,452.02 and 120,384.86

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Solution

The fourth proportional to 215,108.42, 322,452.02 and 120,384.86 is: 180,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,108.42 : 322,452.02 = 120,384.86 : x
  2. Step 2: Convert to fraction form
    215,108.42/322,452.02 = 120,384.86/x
  3. Step 3: Cross multiply
    215,108.42x = 322,452.02 × 120,384.86
  4. Step 4: Simplify right side
    215,108.42x = 38,818,341,284.42
  5. Step 5: Solve for x
    x = 38,818,341,284.42/215,108.42
  6. Step 6: Final answer
    x = 180,459.42

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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.