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Finding the Fourth Proportional to 342,002.08, 513,106.80 and 164,458.72

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Solution

The fourth proportional to 342,002.08, 513,106.80 and 164,458.72 is: 246,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.08 : 513,106.80 = 164,458.72 : x
  2. Step 2: Convert to fraction form
    342,002.08/513,106.80 = 164,458.72/x
  3. Step 3: Cross multiply
    342,002.08x = 513,106.80 × 164,458.72
  4. Step 4: Simplify right side
    342,002.08x = 84,384,887,551.30
  5. Step 5: Solve for x
    x = 84,384,887,551.30/342,002.08
  6. Step 6: Final answer
    x = 246,737.94

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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.