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Finding the Fourth Proportional to 172,851.72, 238,526.82 and 97,405.08

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Solution

The fourth proportional to 172,851.72, 238,526.82 and 97,405.08 is: 134,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,851.72 : 238,526.82 = 97,405.08 : x
  2. Step 2: Convert to fraction form
    172,851.72/238,526.82 = 97,405.08/x
  3. Step 3: Cross multiply
    172,851.72x = 238,526.82 × 97,405.08
  4. Step 4: Simplify right side
    172,851.72x = 23,233,723,984.25
  5. Step 5: Solve for x
    x = 23,233,723,984.25/172,851.72
  6. Step 6: Final answer
    x = 134,414.19

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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.