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Finding the Fourth Proportional to 282,964.80, 424,401.08 and 83,238.48

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Solution

The fourth proportional to 282,964.80, 424,401.08 and 83,238.48 is: 124,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,964.80 : 424,401.08 = 83,238.48 : x
  2. Step 2: Convert to fraction form
    282,964.80/424,401.08 = 83,238.48/x
  3. Step 3: Cross multiply
    282,964.80x = 424,401.08 × 83,238.48
  4. Step 4: Simplify right side
    282,964.80x = 35,326,500,393.37
  5. Step 5: Solve for x
    x = 35,326,500,393.37/282,964.80
  6. Step 6: Final answer
    x = 124,844.15

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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.