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Finding the Fourth Proportional to 78,298.34, 117,409.23 and 54,617.23

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Solution

The fourth proportional to 78,298.34, 117,409.23 and 54,617.23 is: 81,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298.34 : 117,409.23 = 54,617.23 : x
  2. Step 2: Convert to fraction form
    78,298.34/117,409.23 = 54,617.23/x
  3. Step 3: Cross multiply
    78,298.34x = 117,409.23 × 54,617.23
  4. Step 4: Simplify right side
    78,298.34x = 6,412,566,331.99
  5. Step 5: Solve for x
    x = 6,412,566,331.99/78,298.34
  6. Step 6: Final answer
    x = 81,899.14

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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.