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Finding the Fourth Proportional to 342,387.36, 513,302.72 and 142,856.42

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Solution

The fourth proportional to 342,387.36, 513,302.72 and 142,856.42 is: 214,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,387.36 : 513,302.72 = 142,856.42 : x
  2. Step 2: Convert to fraction form
    342,387.36/513,302.72 = 142,856.42/x
  3. Step 3: Cross multiply
    342,387.36x = 513,302.72 × 142,856.42
  4. Step 4: Simplify right side
    342,387.36x = 73,328,585,674.67
  5. Step 5: Solve for x
    x = 73,328,585,674.67/342,387.36
  6. Step 6: Final answer
    x = 214,168.50

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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.