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Finding the Fourth Proportional to 103,463.86, 155,392.62 and 64,294.68

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Solution

The fourth proportional to 103,463.86, 155,392.62 and 64,294.68 is: 96,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,463.86 : 155,392.62 = 64,294.68 : x
  2. Step 2: Convert to fraction form
    103,463.86/155,392.62 = 64,294.68/x
  3. Step 3: Cross multiply
    103,463.86x = 155,392.62 × 64,294.68
  4. Step 4: Simplify right side
    103,463.86x = 9,990,918,777.26
  5. Step 5: Solve for x
    x = 9,990,918,777.26/103,463.86
  6. Step 6: Final answer
    x = 96,564.33

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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.