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Finding the Fourth Proportional to 105,743.26, 145,925.31 and 65,449

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Solution

The fourth proportional to 105,743.26, 145,925.31 and 65,449 is: 90,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,743.26 : 145,925.31 = 65,449 : x
  2. Step 2: Convert to fraction form
    105,743.26/145,925.31 = 65,449/x
  3. Step 3: Cross multiply
    105,743.26x = 145,925.31 × 65,449
  4. Step 4: Simplify right side
    105,743.26x = 9,550,665,614.19
  5. Step 5: Solve for x
    x = 9,550,665,614.19/105,743.26
  6. Step 6: Final answer
    x = 90,319.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.