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Finding the Fourth Proportional to 180,564.80, 270,950.92 and 141,010.88

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Solution

The fourth proportional to 180,564.80, 270,950.92 and 141,010.88 is: 211,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,564.80 : 270,950.92 = 141,010.88 : x
  2. Step 2: Convert to fraction form
    180,564.80/270,950.92 = 141,010.88/x
  3. Step 3: Cross multiply
    180,564.80x = 270,950.92 × 141,010.88
  4. Step 4: Simplify right side
    180,564.80x = 38,207,027,666.01
  5. Step 5: Solve for x
    x = 38,207,027,666.01/180,564.80
  6. Step 6: Final answer
    x = 211,597.32

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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.