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Finding the Fourth Proportional to 138,916.11, 191,692.86 and 78,492

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Solution

The fourth proportional to 138,916.11, 191,692.86 and 78,492 is: 108,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,916.11 : 191,692.86 = 78,492 : x
  2. Step 2: Convert to fraction form
    138,916.11/191,692.86 = 78,492/x
  3. Step 3: Cross multiply
    138,916.11x = 191,692.86 × 78,492
  4. Step 4: Simplify right side
    138,916.11x = 15,046,355,967.12
  5. Step 5: Solve for x
    x = 15,046,355,967.12/138,916.11
  6. Step 6: Final answer
    x = 108,312.53

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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.