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Finding the Fourth Proportional to 175,866.65, 263,797.67 and 42,746.52

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Solution

The fourth proportional to 175,866.65, 263,797.67 and 42,746.52 is: 64,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,866.65 : 263,797.67 = 42,746.52 : x
  2. Step 2: Convert to fraction form
    175,866.65/263,797.67 = 42,746.52/x
  3. Step 3: Cross multiply
    175,866.65x = 263,797.67 × 42,746.52
  4. Step 4: Simplify right side
    175,866.65x = 11,276,432,376.61
  5. Step 5: Solve for x
    x = 11,276,432,376.61/175,866.65
  6. Step 6: Final answer
    x = 64,119.22

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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.