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Finding the Fourth Proportional to 282,726.25, 390,164.45 and 155,401.84

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Solution

The fourth proportional to 282,726.25, 390,164.45 and 155,401.84 is: 214,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,726.25 : 390,164.45 = 155,401.84 : x
  2. Step 2: Convert to fraction form
    282,726.25/390,164.45 = 155,401.84/x
  3. Step 3: Cross multiply
    282,726.25x = 390,164.45 × 155,401.84
  4. Step 4: Simplify right side
    282,726.25x = 60,632,273,143.28
  5. Step 5: Solve for x
    x = 60,632,273,143.28/282,726.25
  6. Step 6: Final answer
    x = 214,455.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.