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Finding the Fourth Proportional to 342,081.20, 513,121.80 and 105,496.40

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Solution

The fourth proportional to 342,081.20, 513,121.80 and 105,496.40 is: 158,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,081.20 : 513,121.80 = 105,496.40 : x
  2. Step 2: Convert to fraction form
    342,081.20/513,121.80 = 105,496.40/x
  3. Step 3: Cross multiply
    342,081.20x = 513,121.80 × 105,496.40
  4. Step 4: Simplify right side
    342,081.20x = 54,132,502,661.52
  5. Step 5: Solve for x
    x = 54,132,502,661.52/342,081.20
  6. Step 6: Final answer
    x = 158,244.60

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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.