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Finding the Fourth Proportional to 78,123.30, 116,498.94 and 77,412.87

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Solution

The fourth proportional to 78,123.30, 116,498.94 and 77,412.87 is: 115,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.30 : 116,498.94 = 77,412.87 : x
  2. Step 2: Convert to fraction form
    78,123.30/116,498.94 = 77,412.87/x
  3. Step 3: Cross multiply
    78,123.30x = 116,498.94 × 77,412.87
  4. Step 4: Simplify right side
    78,123.30x = 9,018,517,297.36
  5. Step 5: Solve for x
    x = 9,018,517,297.36/78,123.30
  6. Step 6: Final answer
    x = 115,439.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.