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Finding the Fourth Proportional to 106,076.98, 146,349.80 and 65,776.24

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Solution

The fourth proportional to 106,076.98, 146,349.80 and 65,776.24 is: 90,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,076.98 : 146,349.80 = 65,776.24 : x
  2. Step 2: Convert to fraction form
    106,076.98/146,349.80 = 65,776.24/x
  3. Step 3: Cross multiply
    106,076.98x = 146,349.80 × 65,776.24
  4. Step 4: Simplify right side
    106,076.98x = 9,626,339,568.75
  5. Step 5: Solve for x
    x = 9,626,339,568.75/106,076.98
  6. Step 6: Final answer
    x = 90,748.62

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1.5x scale

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.