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Finding the Fourth Proportional to 175,762.65, 263,532.19 and 149,117.84

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Solution

The fourth proportional to 175,762.65, 263,532.19 and 149,117.84 is: 223,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,762.65 : 263,532.19 = 149,117.84 : x
  2. Step 2: Convert to fraction form
    175,762.65/263,532.19 = 149,117.84/x
  3. Step 3: Cross multiply
    175,762.65x = 263,532.19 × 149,117.84
  4. Step 4: Simplify right side
    175,762.65x = 39,297,350,943.27
  5. Step 5: Solve for x
    x = 39,297,350,943.27/175,762.65
  6. Step 6: Final answer
    x = 223,581.92

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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.