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Finding the Fourth Proportional to 430,132.56, 645,154.56 and 130,601.04

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Solution

The fourth proportional to 430,132.56, 645,154.56 and 130,601.04 is: 195,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,132.56 : 645,154.56 = 130,601.04 : x
  2. Step 2: Convert to fraction form
    430,132.56/645,154.56 = 130,601.04/x
  3. Step 3: Cross multiply
    430,132.56x = 645,154.56 × 130,601.04
  4. Step 4: Simplify right side
    430,132.56x = 84,257,856,496.74
  5. Step 5: Solve for x
    x = 84,257,856,496.74/430,132.56
  6. Step 6: Final answer
    x = 195,888.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.