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Finding the Fourth Proportional to 157,853.56, 217,757 and 106,868.12

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Solution

The fourth proportional to 157,853.56, 217,757 and 106,868.12 is: 147,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,853.56 : 217,757 = 106,868.12 : x
  2. Step 2: Convert to fraction form
    157,853.56/217,757 = 106,868.12/x
  3. Step 3: Cross multiply
    157,853.56x = 217,757 × 106,868.12
  4. Step 4: Simplify right side
    157,853.56x = 23,271,281,206.84
  5. Step 5: Solve for x
    x = 23,271,281,206.84/157,853.56
  6. Step 6: Final answer
    x = 147,423.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.