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Finding the Fourth Proportional to 317,802.80, 476,315.40 and 140,121.20

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Solution

The fourth proportional to 317,802.80, 476,315.40 and 140,121.20 is: 210,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,802.80 : 476,315.40 = 140,121.20 : x
  2. Step 2: Convert to fraction form
    317,802.80/476,315.40 = 140,121.20/x
  3. Step 3: Cross multiply
    317,802.80x = 476,315.40 × 140,121.20
  4. Step 4: Simplify right side
    317,802.80x = 66,741,885,426.48
  5. Step 5: Solve for x
    x = 66,741,885,426.48/317,802.80
  6. Step 6: Final answer
    x = 210,010.38

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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.