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Finding the Fourth Proportional to 282,394.48, 423,578.76 and 95,407.60

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Solution

The fourth proportional to 282,394.48, 423,578.76 and 95,407.60 is: 143,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,394.48 : 423,578.76 = 95,407.60 : x
  2. Step 2: Convert to fraction form
    282,394.48/423,578.76 = 95,407.60/x
  3. Step 3: Cross multiply
    282,394.48x = 423,578.76 × 95,407.60
  4. Step 4: Simplify right side
    282,394.48x = 40,412,632,902.58
  5. Step 5: Solve for x
    x = 40,412,632,902.58/282,394.48
  6. Step 6: Final answer
    x = 143,107.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.