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Finding the Fourth Proportional to 78,116, 117,193.98 and 22,712

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Solution

The fourth proportional to 78,116, 117,193.98 and 22,712 is: 34,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116 : 117,193.98 = 22,712 : x
  2. Step 2: Convert to fraction form
    78,116/117,193.98 = 22,712/x
  3. Step 3: Cross multiply
    78,116x = 117,193.98 × 22,712
  4. Step 4: Simplify right side
    78,116x = 2,661,709,673.76
  5. Step 5: Solve for x
    x = 2,661,709,673.76/78,116
  6. Step 6: Final answer
    x = 34,073.81

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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.