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Finding the Fourth Proportional to 120,279.92, 180,559.52 and 70,395.84

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Solution

The fourth proportional to 120,279.92, 180,559.52 and 70,395.84 is: 105,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,279.92 : 180,559.52 = 70,395.84 : x
  2. Step 2: Convert to fraction form
    120,279.92/180,559.52 = 70,395.84/x
  3. Step 3: Cross multiply
    120,279.92x = 180,559.52 × 70,395.84
  4. Step 4: Simplify right side
    120,279.92x = 12,710,639,080.40
  5. Step 5: Solve for x
    x = 12,710,639,080.40/120,279.92
  6. Step 6: Final answer
    x = 105,675.49

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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.