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Finding the Fourth Proportional to 97,758.70, 146,389.88 and 81,922.08

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Solution

The fourth proportional to 97,758.70, 146,389.88 and 81,922.08 is: 122,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,758.70 : 146,389.88 = 81,922.08 : x
  2. Step 2: Convert to fraction form
    97,758.70/146,389.88 = 81,922.08/x
  3. Step 3: Cross multiply
    97,758.70x = 146,389.88 × 81,922.08
  4. Step 4: Simplify right side
    97,758.70x = 11,992,564,214.32
  5. Step 5: Solve for x
    x = 11,992,564,214.32/97,758.70
  6. Step 6: Final answer
    x = 122,675.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.