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Finding the Fourth Proportional to 153,400.60, 230,006.94 and 59,797

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Solution

The fourth proportional to 153,400.60, 230,006.94 and 59,797 is: 89,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,400.60 : 230,006.94 = 59,797 : x
  2. Step 2: Convert to fraction form
    153,400.60/230,006.94 = 59,797/x
  3. Step 3: Cross multiply
    153,400.60x = 230,006.94 × 59,797
  4. Step 4: Simplify right side
    153,400.60x = 13,753,724,991.18
  5. Step 5: Solve for x
    x = 13,753,724,991.18/153,400.60
  6. Step 6: Final answer
    x = 89,658.87

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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.