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Finding the Fourth Proportional to 177,281.69, 265,701.12 and 113,933.21

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Solution

The fourth proportional to 177,281.69, 265,701.12 and 113,933.21 is: 170,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,281.69 : 265,701.12 = 113,933.21 : x
  2. Step 2: Convert to fraction form
    177,281.69/265,701.12 = 113,933.21/x
  3. Step 3: Cross multiply
    177,281.69x = 265,701.12 × 113,933.21
  4. Step 4: Simplify right side
    177,281.69x = 30,272,181,502.20
  5. Step 5: Solve for x
    x = 30,272,181,502.20/177,281.69
  6. Step 6: Final answer
    x = 170,757.52

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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.