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Finding the Fourth Proportional to 172,523.68, 238,082.16 and 97,072.24

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Solution

The fourth proportional to 172,523.68, 238,082.16 and 97,072.24 is: 133,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,523.68 : 238,082.16 = 97,072.24 : x
  2. Step 2: Convert to fraction form
    172,523.68/238,082.16 = 97,072.24/x
  3. Step 3: Cross multiply
    172,523.68x = 238,082.16 × 97,072.24
  4. Step 4: Simplify right side
    172,523.68x = 23,111,168,575.24
  5. Step 5: Solve for x
    x = 23,111,168,575.24/172,523.68
  6. Step 6: Final answer
    x = 133,959.40

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1.5x scale

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.