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Finding the Fourth Proportional to 157,294.28, 217,113.54 and 107,022.44

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Solution

The fourth proportional to 157,294.28, 217,113.54 and 107,022.44 is: 147,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,294.28 : 217,113.54 = 107,022.44 : x
  2. Step 2: Convert to fraction form
    157,294.28/217,113.54 = 107,022.44/x
  3. Step 3: Cross multiply
    157,294.28x = 217,113.54 × 107,022.44
  4. Step 4: Simplify right side
    157,294.28x = 23,236,020,807.84
  5. Step 5: Solve for x
    x = 23,236,020,807.84/157,294.28
  6. Step 6: Final answer
    x = 147,723.24

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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.