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Finding the Fourth Proportional to 342,113.41, 513,254.49 and 117,477.19

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Solution

The fourth proportional to 342,113.41, 513,254.49 and 117,477.19 is: 176,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,113.41 : 513,254.49 = 117,477.19 : x
  2. Step 2: Convert to fraction form
    342,113.41/513,254.49 = 117,477.19/x
  3. Step 3: Cross multiply
    342,113.41x = 513,254.49 × 117,477.19
  4. Step 4: Simplify right side
    342,113.41x = 60,295,695,240.08
  5. Step 5: Solve for x
    x = 60,295,695,240.08/342,113.41
  6. Step 6: Final answer
    x = 176,244.76

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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.