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Finding the Fourth Proportional to 176,842.16, 244,034.68 and 96,268

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Solution

The fourth proportional to 176,842.16, 244,034.68 and 96,268 is: 132,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,842.16 : 244,034.68 = 96,268 : x
  2. Step 2: Convert to fraction form
    176,842.16/244,034.68 = 96,268/x
  3. Step 3: Cross multiply
    176,842.16x = 244,034.68 × 96,268
  4. Step 4: Simplify right side
    176,842.16x = 23,492,730,574.24
  5. Step 5: Solve for x
    x = 23,492,730,574.24/176,842.16
  6. Step 6: Final answer
    x = 132,845.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.