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Finding the Fourth Proportional to 157,351.32, 217,225.23 and 106,632

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Solution

The fourth proportional to 157,351.32, 217,225.23 and 106,632 is: 147,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,351.32 : 217,225.23 = 106,632 : x
  2. Step 2: Convert to fraction form
    157,351.32/217,225.23 = 106,632/x
  3. Step 3: Cross multiply
    157,351.32x = 217,225.23 × 106,632
  4. Step 4: Simplify right side
    157,351.32x = 23,163,160,725.36
  5. Step 5: Solve for x
    x = 23,163,160,725.36/157,351.32
  6. Step 6: Final answer
    x = 147,206.65

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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.