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Finding the Fourth Proportional to 282,262.12, 389,497.38 and 154,937.32

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Solution

The fourth proportional to 282,262.12, 389,497.38 and 154,937.32 is: 213,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,262.12 : 389,497.38 = 154,937.32 : x
  2. Step 2: Convert to fraction form
    282,262.12/389,497.38 = 154,937.32/x
  3. Step 3: Cross multiply
    282,262.12x = 389,497.38 × 154,937.32
  4. Step 4: Simplify right side
    282,262.12x = 60,347,680,204.22
  5. Step 5: Solve for x
    x = 60,347,680,204.22/282,262.12
  6. Step 6: Final answer
    x = 213,800.14

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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.