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Finding the Fourth Proportional to 342,513.24, 513,642.42 and 117,810.60

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Solution

The fourth proportional to 342,513.24, 513,642.42 and 117,810.60 is: 176,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,513.24 : 513,642.42 = 117,810.60 : x
  2. Step 2: Convert to fraction form
    342,513.24/513,642.42 = 117,810.60/x
  3. Step 3: Cross multiply
    342,513.24x = 513,642.42 × 117,810.60
  4. Step 4: Simplify right side
    342,513.24x = 60,512,521,685.65
  5. Step 5: Solve for x
    x = 60,512,521,685.65/342,513.24
  6. Step 6: Final answer
    x = 176,672.07

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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.