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Finding the Fourth Proportional to 270,752.16, 406,016.28 and 102,243.84

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Solution

The fourth proportional to 270,752.16, 406,016.28 and 102,243.84 is: 153,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,752.16 : 406,016.28 = 102,243.84 : x
  2. Step 2: Convert to fraction form
    270,752.16/406,016.28 = 102,243.84/x
  3. Step 3: Cross multiply
    270,752.16x = 406,016.28 × 102,243.84
  4. Step 4: Simplify right side
    270,752.16x = 41,512,663,569.72
  5. Step 5: Solve for x
    x = 41,512,663,569.72/270,752.16
  6. Step 6: Final answer
    x = 153,323.48

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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.