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Finding the Fourth Proportional to 136,282.80, 204,035.40 and 120,730.80

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Solution

The fourth proportional to 136,282.80, 204,035.40 and 120,730.80 is: 180,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,282.80 : 204,035.40 = 120,730.80 : x
  2. Step 2: Convert to fraction form
    136,282.80/204,035.40 = 120,730.80/x
  3. Step 3: Cross multiply
    136,282.80x = 204,035.40 × 120,730.80
  4. Step 4: Simplify right side
    136,282.80x = 24,633,357,070.32
  5. Step 5: Solve for x
    x = 24,633,357,070.32/136,282.80
  6. Step 6: Final answer
    x = 180,751.77

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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.