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Finding the Fourth Proportional to 103,463.48, 155,392.07 and 64,294.31

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Solution

The fourth proportional to 103,463.48, 155,392.07 and 64,294.31 is: 96,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,463.48 : 155,392.07 = 64,294.31 : x
  2. Step 2: Convert to fraction form
    103,463.48/155,392.07 = 64,294.31/x
  3. Step 3: Cross multiply
    103,463.48x = 155,392.07 × 64,294.31
  4. Step 4: Simplify right side
    103,463.48x = 9,990,825,987.13
  5. Step 5: Solve for x
    x = 9,990,825,987.13/103,463.48
  6. Step 6: Final answer
    x = 96,563.79

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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.