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Finding the Fourth Proportional to 159,675.30, 220,297.12 and 102,360.92

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Solution

The fourth proportional to 159,675.30, 220,297.12 and 102,360.92 is: 141,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,675.30 : 220,297.12 = 102,360.92 : x
  2. Step 2: Convert to fraction form
    159,675.30/220,297.12 = 102,360.92/x
  3. Step 3: Cross multiply
    159,675.30x = 220,297.12 × 102,360.92
  4. Step 4: Simplify right side
    159,675.30x = 22,549,814,519.16
  5. Step 5: Solve for x
    x = 22,549,814,519.16/159,675.30
  6. Step 6: Final answer
    x = 141,222.94

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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.