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Finding the Fourth Proportional to 106,497.32, 146,966.78 and 58,750.65

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Solution

The fourth proportional to 106,497.32, 146,966.78 and 58,750.65 is: 81,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.32 : 146,966.78 = 58,750.65 : x
  2. Step 2: Convert to fraction form
    106,497.32/146,966.78 = 58,750.65/x
  3. Step 3: Cross multiply
    106,497.32x = 146,966.78 × 58,750.65
  4. Step 4: Simplify right side
    106,497.32x = 8,634,393,559.65
  5. Step 5: Solve for x
    x = 8,634,393,559.65/106,497.32
  6. Step 6: Final answer
    x = 81,076.16

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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.