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Finding the Fourth Proportional to 341,657.46, 512,535.20 and 105,020.01

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Solution

The fourth proportional to 341,657.46, 512,535.20 and 105,020.01 is: 157,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,657.46 : 512,535.20 = 105,020.01 : x
  2. Step 2: Convert to fraction form
    341,657.46/512,535.20 = 105,020.01/x
  3. Step 3: Cross multiply
    341,657.46x = 512,535.20 × 105,020.01
  4. Step 4: Simplify right side
    341,657.46x = 53,826,451,304.25
  5. Step 5: Solve for x
    x = 53,826,451,304.25/341,657.46
  6. Step 6: Final answer
    x = 157,545.08

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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.