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Finding the Fourth Proportional to 172,505.28, 238,055.40 and 96,024

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Solution

The fourth proportional to 172,505.28, 238,055.40 and 96,024 is: 132,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,505.28 : 238,055.40 = 96,024 : x
  2. Step 2: Convert to fraction form
    172,505.28/238,055.40 = 96,024/x
  3. Step 3: Cross multiply
    172,505.28x = 238,055.40 × 96,024
  4. Step 4: Simplify right side
    172,505.28x = 22,859,031,729.60
  5. Step 5: Solve for x
    x = 22,859,031,729.60/172,505.28
  6. Step 6: Final answer
    x = 132,512.07

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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.