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Finding the Fourth Proportional to 268,434.89, 402,652.42 and 78,895.29

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Solution

The fourth proportional to 268,434.89, 402,652.42 and 78,895.29 is: 118,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,434.89 : 402,652.42 = 78,895.29 : x
  2. Step 2: Convert to fraction form
    268,434.89/402,652.42 = 78,895.29/x
  3. Step 3: Cross multiply
    268,434.89x = 402,652.42 × 78,895.29
  4. Step 4: Simplify right side
    268,434.89x = 31,767,379,445.10
  5. Step 5: Solve for x
    x = 31,767,379,445.10/268,434.89
  6. Step 6: Final answer
    x = 118,342.96

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Why These Related Problems?

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