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Finding the Fourth Proportional to 317,275.99, 475,722.32 and 148,833.25

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Solution

The fourth proportional to 317,275.99, 475,722.32 and 148,833.25 is: 223,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,275.99 : 475,722.32 = 148,833.25 : x
  2. Step 2: Convert to fraction form
    317,275.99/475,722.32 = 148,833.25/x
  3. Step 3: Cross multiply
    317,275.99x = 475,722.32 × 148,833.25
  4. Step 4: Simplify right side
    317,275.99x = 70,803,297,049.67
  5. Step 5: Solve for x
    x = 70,803,297,049.67/317,275.99
  6. Step 6: Final answer
    x = 223,159.96

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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.