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Finding the Fourth Proportional to 153,404.60, 230,012.94 and 59,801

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Solution

The fourth proportional to 153,404.60, 230,012.94 and 59,801 is: 89,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,404.60 : 230,012.94 = 59,801 : x
  2. Step 2: Convert to fraction form
    153,404.60/230,012.94 = 59,801/x
  3. Step 3: Cross multiply
    153,404.60x = 230,012.94 × 59,801
  4. Step 4: Simplify right side
    153,404.60x = 13,755,003,824.94
  5. Step 5: Solve for x
    x = 13,755,003,824.94/153,404.60
  6. Step 6: Final answer
    x = 89,664.87

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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.