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Finding the Fourth Proportional to 342,103.80, 513,107.10 and 105,470.40

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Solution

The fourth proportional to 342,103.80, 513,107.10 and 105,470.40 is: 158,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,103.80 : 513,107.10 = 105,470.40 : x
  2. Step 2: Convert to fraction form
    342,103.80/513,107.10 = 105,470.40/x
  3. Step 3: Cross multiply
    342,103.80x = 513,107.10 × 105,470.40
  4. Step 4: Simplify right side
    342,103.80x = 54,117,611,079.84
  5. Step 5: Solve for x
    x = 54,117,611,079.84/342,103.80
  6. Step 6: Final answer
    x = 158,190.62

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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.