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Finding the Fourth Proportional to 270,214.04, 405,223.86 and 92,675

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Solution

The fourth proportional to 270,214.04, 405,223.86 and 92,675 is: 138,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,214.04 : 405,223.86 = 92,675 : x
  2. Step 2: Convert to fraction form
    270,214.04/405,223.86 = 92,675/x
  3. Step 3: Cross multiply
    270,214.04x = 405,223.86 × 92,675
  4. Step 4: Simplify right side
    270,214.04x = 37,554,121,225.50
  5. Step 5: Solve for x
    x = 37,554,121,225.50/270,214.04
  6. Step 6: Final answer
    x = 138,979.16

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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.