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Finding the Fourth Proportional to 156,218, 234,398.40 and 85,034

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Solution

The fourth proportional to 156,218, 234,398.40 and 85,034 is: 127,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,218 : 234,398.40 = 85,034 : x
  2. Step 2: Convert to fraction form
    156,218/234,398.40 = 85,034/x
  3. Step 3: Cross multiply
    156,218x = 234,398.40 × 85,034
  4. Step 4: Simplify right side
    156,218x = 19,931,833,545.60
  5. Step 5: Solve for x
    x = 19,931,833,545.60/156,218
  6. Step 6: Final answer
    x = 127,589.87

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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.