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Finding the Fourth Proportional to 160,216.19, 240,468.74 and 85,398.65

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Solution

The fourth proportional to 160,216.19, 240,468.74 and 85,398.65 is: 128,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,216.19 : 240,468.74 = 85,398.65 : x
  2. Step 2: Convert to fraction form
    160,216.19/240,468.74 = 85,398.65/x
  3. Step 3: Cross multiply
    160,216.19x = 240,468.74 × 85,398.65
  4. Step 4: Simplify right side
    160,216.19x = 20,535,706,150.88
  5. Step 5: Solve for x
    x = 20,535,706,150.88/160,216.19
  6. Step 6: Final answer
    x = 128,174.97

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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.