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Finding the Fourth Proportional to 282,405.16, 389,719.38 and 155,087.20

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Solution

The fourth proportional to 282,405.16, 389,719.38 and 155,087.20 is: 214,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,405.16 : 389,719.38 = 155,087.20 : x
  2. Step 2: Convert to fraction form
    282,405.16/389,719.38 = 155,087.20/x
  3. Step 3: Cross multiply
    282,405.16x = 389,719.38 × 155,087.20
  4. Step 4: Simplify right side
    282,405.16x = 60,440,487,429.94
  5. Step 5: Solve for x
    x = 60,440,487,429.94/282,405.16
  6. Step 6: Final answer
    x = 214,020.48

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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.