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Finding the Fourth Proportional to 120,085.20, 165,718.80 and 65,638.92

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Solution

The fourth proportional to 120,085.20, 165,718.80 and 65,638.92 is: 90,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,085.20 : 165,718.80 = 65,638.92 : x
  2. Step 2: Convert to fraction form
    120,085.20/165,718.80 = 65,638.92/x
  3. Step 3: Cross multiply
    120,085.20x = 165,718.80 × 65,638.92
  4. Step 4: Simplify right side
    120,085.20x = 10,877,603,055.70
  5. Step 5: Solve for x
    x = 10,877,603,055.70/120,085.20
  6. Step 6: Final answer
    x = 90,582.38

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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.