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Finding the Fourth Proportional to 207,851.10, 310,998.18 and 148,017.84

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Solution

The fourth proportional to 207,851.10, 310,998.18 and 148,017.84 is: 221,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,851.10 : 310,998.18 = 148,017.84 : x
  2. Step 2: Convert to fraction form
    207,851.10/310,998.18 = 148,017.84/x
  3. Step 3: Cross multiply
    207,851.10x = 310,998.18 × 148,017.84
  4. Step 4: Simplify right side
    207,851.10x = 46,033,278,847.53
  5. Step 5: Solve for x
    x = 46,033,278,847.53/207,851.10
  6. Step 6: Final answer
    x = 221,472.39

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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.