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Finding the Fourth Proportional to 115,851.84, 173,653.56 and 75,855.66

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Solution

The fourth proportional to 115,851.84, 173,653.56 and 75,855.66 is: 113,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,851.84 : 173,653.56 = 75,855.66 : x
  2. Step 2: Convert to fraction form
    115,851.84/173,653.56 = 75,855.66/x
  3. Step 3: Cross multiply
    115,851.84x = 173,653.56 × 75,855.66
  4. Step 4: Simplify right side
    115,851.84x = 13,172,605,405.15
  5. Step 5: Solve for x
    x = 13,172,605,405.15/115,851.84
  6. Step 6: Final answer
    x = 113,702.17

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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.