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Finding the Fourth Proportional to 97,696.99, 146,568.52 and 77,781.77

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Solution

The fourth proportional to 97,696.99, 146,568.52 and 77,781.77 is: 116,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696.99 : 146,568.52 = 77,781.77 : x
  2. Step 2: Convert to fraction form
    97,696.99/146,568.52 = 77,781.77/x
  3. Step 3: Cross multiply
    97,696.99x = 146,568.52 × 77,781.77
  4. Step 4: Simplify right side
    97,696.99x = 11,400,359,083.85
  5. Step 5: Solve for x
    x = 11,400,359,083.85/97,696.99
  6. Step 6: Final answer
    x = 116,691.00

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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.