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Finding the Fourth Proportional to 159,482, 220,095.24 and 87,862.16

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Solution

The fourth proportional to 159,482, 220,095.24 and 87,862.16 is: 121,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,482 : 220,095.24 = 87,862.16 : x
  2. Step 2: Convert to fraction form
    159,482/220,095.24 = 87,862.16/x
  3. Step 3: Cross multiply
    159,482x = 220,095.24 × 87,862.16
  4. Step 4: Simplify right side
    159,482x = 19,338,043,192.12
  5. Step 5: Solve for x
    x = 19,338,043,192.12/159,482
  6. Step 6: Final answer
    x = 121,255.33

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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.