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Finding the Fourth Proportional to 282,717.20, 390,149.16 and 155,392.40

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Solution

The fourth proportional to 282,717.20, 390,149.16 and 155,392.40 is: 214,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,717.20 : 390,149.16 = 155,392.40 : x
  2. Step 2: Convert to fraction form
    282,717.20/390,149.16 = 155,392.40/x
  3. Step 3: Cross multiply
    282,717.20x = 390,149.16 × 155,392.40
  4. Step 4: Simplify right side
    282,717.20x = 60,626,214,330.38
  5. Step 5: Solve for x
    x = 60,626,214,330.38/282,717.20
  6. Step 6: Final answer
    x = 214,441.20

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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.