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Finding the Fourth Proportional to 202,895.89, 280,006.95 and 116,867.95

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Solution

The fourth proportional to 202,895.89, 280,006.95 and 116,867.95 is: 161,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,895.89 : 280,006.95 = 116,867.95 : x
  2. Step 2: Convert to fraction form
    202,895.89/280,006.95 = 116,867.95/x
  3. Step 3: Cross multiply
    202,895.89x = 280,006.95 × 116,867.95
  4. Step 4: Simplify right side
    202,895.89x = 32,723,838,232.25
  5. Step 5: Solve for x
    x = 32,723,838,232.25/202,895.89
  6. Step 6: Final answer
    x = 161,283.89

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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.