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Finding the Fourth Proportional to 77,123.40, 115,490.70 and 57,294.60

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Solution

The fourth proportional to 77,123.40, 115,490.70 and 57,294.60 is: 85,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,123.40 : 115,490.70 = 57,294.60 : x
  2. Step 2: Convert to fraction form
    77,123.40/115,490.70 = 57,294.60/x
  3. Step 3: Cross multiply
    77,123.40x = 115,490.70 × 57,294.60
  4. Step 4: Simplify right side
    77,123.40x = 6,616,993,460.22
  5. Step 5: Solve for x
    x = 6,616,993,460.22/77,123.40
  6. Step 6: Final answer
    x = 85,797.48

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