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Finding the Fourth Proportional to 157,896.24, 217,899.36 and 94,271.28

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Solution

The fourth proportional to 157,896.24, 217,899.36 and 94,271.28 is: 130,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.24 : 217,899.36 = 94,271.28 : x
  2. Step 2: Convert to fraction form
    157,896.24/217,899.36 = 94,271.28/x
  3. Step 3: Cross multiply
    157,896.24x = 217,899.36 × 94,271.28
  4. Step 4: Simplify right side
    157,896.24x = 20,541,651,578.38
  5. Step 5: Solve for x
    x = 20,541,651,578.38/157,896.24
  6. Step 6: Final answer
    x = 130,095.89

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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.