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Finding the Fourth Proportional to 282,247.80, 389,506.38 and 154,935

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Solution

The fourth proportional to 282,247.80, 389,506.38 and 154,935 is: 213,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,247.80 : 389,506.38 = 154,935 : x
  2. Step 2: Convert to fraction form
    282,247.80/389,506.38 = 154,935/x
  3. Step 3: Cross multiply
    282,247.80x = 389,506.38 × 154,935
  4. Step 4: Simplify right side
    282,247.80x = 60,348,170,985.30
  5. Step 5: Solve for x
    x = 60,348,170,985.30/282,247.80
  6. Step 6: Final answer
    x = 213,812.72

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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.