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Finding the Fourth Proportional to 106,497.72, 146,966.16 and 58,102.32

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Solution

The fourth proportional to 106,497.72, 146,966.16 and 58,102.32 is: 80,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.72 : 146,966.16 = 58,102.32 : x
  2. Step 2: Convert to fraction form
    106,497.72/146,966.16 = 58,102.32/x
  3. Step 3: Cross multiply
    106,497.72x = 146,966.16 × 58,102.32
  4. Step 4: Simplify right side
    106,497.72x = 8,539,074,857.49
  5. Step 5: Solve for x
    x = 8,539,074,857.49/106,497.72
  6. Step 6: Final answer
    x = 80,180.82

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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.