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Finding the Fourth Proportional to 282,403, 389,803.62 and 181,801

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Solution

The fourth proportional to 282,403, 389,803.62 and 181,801 is: 250,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,403 : 389,803.62 = 181,801 : x
  2. Step 2: Convert to fraction form
    282,403/389,803.62 = 181,801/x
  3. Step 3: Cross multiply
    282,403x = 389,803.62 × 181,801
  4. Step 4: Simplify right side
    282,403x = 70,866,687,919.62
  5. Step 5: Solve for x
    x = 70,866,687,919.62/282,403
  6. Step 6: Final answer
    x = 250,941.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.