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Finding the Fourth Proportional to 240,992.20, 361,142.70 and 177,315.40

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Solution

The fourth proportional to 240,992.20, 361,142.70 and 177,315.40 is: 265,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,992.20 : 361,142.70 = 177,315.40 : x
  2. Step 2: Convert to fraction form
    240,992.20/361,142.70 = 177,315.40/x
  3. Step 3: Cross multiply
    240,992.20x = 361,142.70 × 177,315.40
  4. Step 4: Simplify right side
    240,992.20x = 64,036,162,307.58
  5. Step 5: Solve for x
    x = 64,036,162,307.58/240,992.20
  6. Step 6: Final answer
    x = 265,718.82

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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.