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Finding the Fourth Proportional to 215,323.26, 322,946.49 and 65,527.26

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Solution

The fourth proportional to 215,323.26, 322,946.49 and 65,527.26 is: 98,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,323.26 : 322,946.49 = 65,527.26 : x
  2. Step 2: Convert to fraction form
    215,323.26/322,946.49 = 65,527.26/x
  3. Step 3: Cross multiply
    215,323.26x = 322,946.49 × 65,527.26
  4. Step 4: Simplify right side
    215,323.26x = 21,161,798,616.32
  5. Step 5: Solve for x
    x = 21,161,798,616.32/215,323.26
  6. Step 6: Final answer
    x = 98,279.20

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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.