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Finding the Fourth Proportional to 105,872.54, 146,106.16 and 60,557.90

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Solution

The fourth proportional to 105,872.54, 146,106.16 and 60,557.90 is: 83,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,872.54 : 146,106.16 = 60,557.90 : x
  2. Step 2: Convert to fraction form
    105,872.54/146,106.16 = 60,557.90/x
  3. Step 3: Cross multiply
    105,872.54x = 146,106.16 × 60,557.90
  4. Step 4: Simplify right side
    105,872.54x = 8,847,882,226.66
  5. Step 5: Solve for x
    x = 8,847,882,226.66/105,872.54
  6. Step 6: Final answer
    x = 83,571.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.