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Finding the Fourth Proportional to 282,479.52, 423,668.16 and 113,992.80

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Solution

The fourth proportional to 282,479.52, 423,668.16 and 113,992.80 is: 170,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,479.52 : 423,668.16 = 113,992.80 : x
  2. Step 2: Convert to fraction form
    282,479.52/423,668.16 = 113,992.80/x
  3. Step 3: Cross multiply
    282,479.52x = 423,668.16 × 113,992.80
  4. Step 4: Simplify right side
    282,479.52x = 48,295,119,829.25
  5. Step 5: Solve for x
    x = 48,295,119,829.25/282,479.52
  6. Step 6: Final answer
    x = 170,968.57

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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.