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Finding the Fourth Proportional to 115,746, 173,618.82 and 76,015.82

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Solution

The fourth proportional to 115,746, 173,618.82 and 76,015.82 is: 114,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,746 : 173,618.82 = 76,015.82 : x
  2. Step 2: Convert to fraction form
    115,746/173,618.82 = 76,015.82/x
  3. Step 3: Cross multiply
    115,746x = 173,618.82 × 76,015.82
  4. Step 4: Simplify right side
    115,746x = 13,197,776,101.64
  5. Step 5: Solve for x
    x = 13,197,776,101.64/115,746
  6. Step 6: Final answer
    x = 114,023.60

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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.