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Finding the Fourth Proportional to 341,994.65, 513,017.75 and 102,089.61

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Solution

The fourth proportional to 341,994.65, 513,017.75 and 102,089.61 is: 153,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,994.65 : 513,017.75 = 102,089.61 : x
  2. Step 2: Convert to fraction form
    341,994.65/513,017.75 = 102,089.61/x
  3. Step 3: Cross multiply
    341,994.65x = 513,017.75 × 102,089.61
  4. Step 4: Simplify right side
    341,994.65x = 52,373,782,275.80
  5. Step 5: Solve for x
    x = 52,373,782,275.80/341,994.65
  6. Step 6: Final answer
    x = 153,142.11

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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.