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Finding the Fourth Proportional to 120,438.80, 180,585.30 and 53,866.52

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Solution

The fourth proportional to 120,438.80, 180,585.30 and 53,866.52 is: 80,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,438.80 : 180,585.30 = 53,866.52 : x
  2. Step 2: Convert to fraction form
    120,438.80/180,585.30 = 53,866.52/x
  3. Step 3: Cross multiply
    120,438.80x = 180,585.30 × 53,866.52
  4. Step 4: Simplify right side
    120,438.80x = 9,727,501,674.16
  5. Step 5: Solve for x
    x = 9,727,501,674.16/120,438.80
  6. Step 6: Final answer
    x = 80,767.18

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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.