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Finding the Fourth Proportional to 150,492.38, 207,678.08 and 82,513.13

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Solution

The fourth proportional to 150,492.38, 207,678.08 and 82,513.13 is: 113,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,492.38 : 207,678.08 = 82,513.13 : x
  2. Step 2: Convert to fraction form
    150,492.38/207,678.08 = 82,513.13/x
  3. Step 3: Cross multiply
    150,492.38x = 207,678.08 × 82,513.13
  4. Step 4: Simplify right side
    150,492.38x = 17,136,167,581.08
  5. Step 5: Solve for x
    x = 17,136,167,581.08/150,492.38
  6. Step 6: Final answer
    x = 113,867.35

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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.