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Finding the Fourth Proportional to 99,643.73, 148,805.11 and 87,571.49

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Solution

The fourth proportional to 99,643.73, 148,805.11 and 87,571.49 is: 130,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,643.73 : 148,805.11 = 87,571.49 : x
  2. Step 2: Convert to fraction form
    99,643.73/148,805.11 = 87,571.49/x
  3. Step 3: Cross multiply
    99,643.73x = 148,805.11 × 87,571.49
  4. Step 4: Simplify right side
    99,643.73x = 13,031,085,202.31
  5. Step 5: Solve for x
    x = 13,031,085,202.31/99,643.73
  6. Step 6: Final answer
    x = 130,776.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.