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Finding the Fourth Proportional to 107,066.75, 160,699.75 and 54,515.57

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Solution

The fourth proportional to 107,066.75, 160,699.75 and 54,515.57 is: 81,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,066.75 : 160,699.75 = 54,515.57 : x
  2. Step 2: Convert to fraction form
    107,066.75/160,699.75 = 54,515.57/x
  3. Step 3: Cross multiply
    107,066.75x = 160,699.75 × 54,515.57
  4. Step 4: Simplify right side
    107,066.75x = 8,760,637,530.32
  5. Step 5: Solve for x
    x = 8,760,637,530.32/107,066.75
  6. Step 6: Final answer
    x = 81,824.08

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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.