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Finding the Fourth Proportional to 160,348.34, 240,448.40 and 90,227.66

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Solution

The fourth proportional to 160,348.34, 240,448.40 and 90,227.66 is: 135,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,348.34 : 240,448.40 = 90,227.66 : x
  2. Step 2: Convert to fraction form
    160,348.34/240,448.40 = 90,227.66/x
  3. Step 3: Cross multiply
    160,348.34x = 240,448.40 × 90,227.66
  4. Step 4: Simplify right side
    160,348.34x = 21,695,095,167.72
  5. Step 5: Solve for x
    x = 21,695,095,167.72/160,348.34
  6. Step 6: Final answer
    x = 135,299.78

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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.