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Finding the Fourth Proportional to 83,206, 114,824.28 and 45,480.40

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Solution

The fourth proportional to 83,206, 114,824.28 and 45,480.40 is: 62,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206 : 114,824.28 = 45,480.40 : x
  2. Step 2: Convert to fraction form
    83,206/114,824.28 = 45,480.40/x
  3. Step 3: Cross multiply
    83,206x = 114,824.28 × 45,480.40
  4. Step 4: Simplify right side
    83,206x = 5,222,254,184.11
  5. Step 5: Solve for x
    x = 5,222,254,184.11/83,206
  6. Step 6: Final answer
    x = 62,762.95

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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.