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Finding the Fourth Proportional to 176,884.80, 265,327.20 and 141,892.80

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Solution

The fourth proportional to 176,884.80, 265,327.20 and 141,892.80 is: 212,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,884.80 : 265,327.20 = 141,892.80 : x
  2. Step 2: Convert to fraction form
    176,884.80/265,327.20 = 141,892.80/x
  3. Step 3: Cross multiply
    176,884.80x = 265,327.20 × 141,892.80
  4. Step 4: Simplify right side
    176,884.80x = 37,648,019,324.16
  5. Step 5: Solve for x
    x = 37,648,019,324.16/176,884.80
  6. Step 6: Final answer
    x = 212,839.20

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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.