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Finding the Fourth Proportional to 283,100.38, 390,681.26 and 155,778.71

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Solution

The fourth proportional to 283,100.38, 390,681.26 and 155,778.71 is: 214,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,100.38 : 390,681.26 = 155,778.71 : x
  2. Step 2: Convert to fraction form
    283,100.38/390,681.26 = 155,778.71/x
  3. Step 3: Cross multiply
    283,100.38x = 390,681.26 × 155,778.71
  4. Step 4: Simplify right side
    283,100.38x = 60,859,821,925.08
  5. Step 5: Solve for x
    x = 60,859,821,925.08/283,100.38
  6. Step 6: Final answer
    x = 214,976.13

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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.