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Finding the Fourth Proportional to 106,073.98, 146,345.66 and 65,773.24

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Solution

The fourth proportional to 106,073.98, 146,345.66 and 65,773.24 is: 90,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,073.98 : 146,345.66 = 65,773.24 : x
  2. Step 2: Convert to fraction form
    106,073.98/146,345.66 = 65,773.24/x
  3. Step 3: Cross multiply
    106,073.98x = 146,345.66 × 65,773.24
  4. Step 4: Simplify right side
    106,073.98x = 9,625,628,218.14
  5. Step 5: Solve for x
    x = 9,625,628,218.14/106,073.98
  6. Step 6: Final answer
    x = 90,744.48

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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.