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Finding the Fourth Proportional to 180,309.12, 270,502.29 and 53,959.11

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Solution

The fourth proportional to 180,309.12, 270,502.29 and 53,959.11 is: 80,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,309.12 : 270,502.29 = 53,959.11 : x
  2. Step 2: Convert to fraction form
    180,309.12/270,502.29 = 53,959.11/x
  3. Step 3: Cross multiply
    180,309.12x = 270,502.29 × 53,959.11
  4. Step 4: Simplify right side
    180,309.12x = 14,596,062,821.36
  5. Step 5: Solve for x
    x = 14,596,062,821.36/180,309.12
  6. Step 6: Final answer
    x = 80,950.22

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1.5x scale

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.