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Finding the Fourth Proportional to 146,850.57, 202,649.85 and 86,424.77

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Solution

The fourth proportional to 146,850.57, 202,649.85 and 86,424.77 is: 119,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,850.57 : 202,649.85 = 86,424.77 : x
  2. Step 2: Convert to fraction form
    146,850.57/202,649.85 = 86,424.77/x
  3. Step 3: Cross multiply
    146,850.57x = 202,649.85 × 86,424.77
  4. Step 4: Simplify right side
    146,850.57x = 17,513,966,859.32
  5. Step 5: Solve for x
    x = 17,513,966,859.32/146,850.57
  6. Step 6: Final answer
    x = 119,263.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.