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Finding the Fourth Proportional to 77,230.27, 106,522.80 and 70,877.38

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Solution

The fourth proportional to 77,230.27, 106,522.80 and 70,877.38 is: 97,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,230.27 : 106,522.80 = 70,877.38 : x
  2. Step 2: Convert to fraction form
    77,230.27/106,522.80 = 70,877.38/x
  3. Step 3: Cross multiply
    77,230.27x = 106,522.80 × 70,877.38
  4. Step 4: Simplify right side
    77,230.27x = 7,550,056,974.26
  5. Step 5: Solve for x
    x = 7,550,056,974.26/77,230.27
  6. Step 6: Final answer
    x = 97,760.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.