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Finding the Fourth Proportional to 282,578.16, 389,938.20 and 155,259.12

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Solution

The fourth proportional to 282,578.16, 389,938.20 and 155,259.12 is: 214,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,578.16 : 389,938.20 = 155,259.12 : x
  2. Step 2: Convert to fraction form
    282,578.16/389,938.20 = 155,259.12/x
  3. Step 3: Cross multiply
    282,578.16x = 389,938.20 × 155,259.12
  4. Step 4: Simplify right side
    282,578.16x = 60,541,461,786.38
  5. Step 5: Solve for x
    x = 60,541,461,786.38/282,578.16
  6. Step 6: Final answer
    x = 214,246.78

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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.