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Finding the Fourth Proportional to 342,509.94, 513,841.46 and 165,166.11

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Solution

The fourth proportional to 342,509.94, 513,841.46 and 165,166.11 is: 247,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,509.94 : 513,841.46 = 165,166.11 : x
  2. Step 2: Convert to fraction form
    342,509.94/513,841.46 = 165,166.11/x
  3. Step 3: Cross multiply
    342,509.94x = 513,841.46 × 165,166.11
  4. Step 4: Simplify right side
    342,509.94x = 84,869,194,279.09
  5. Step 5: Solve for x
    x = 84,869,194,279.09/342,509.94
  6. Step 6: Final answer
    x = 247,786.08

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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.