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Finding the Fourth Proportional to 266,082.08, 367,196.72 and 157,190

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Solution

The fourth proportional to 266,082.08, 367,196.72 and 157,190 is: 216,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,082.08 : 367,196.72 = 157,190 : x
  2. Step 2: Convert to fraction form
    266,082.08/367,196.72 = 157,190/x
  3. Step 3: Cross multiply
    266,082.08x = 367,196.72 × 157,190
  4. Step 4: Simplify right side
    266,082.08x = 57,719,652,416.80
  5. Step 5: Solve for x
    x = 57,719,652,416.80/266,082.08
  6. Step 6: Final answer
    x = 216,924.24

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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.