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Finding the Fourth Proportional to 209,630.25, 289,294.88 and 114,142.14

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Solution

The fourth proportional to 209,630.25, 289,294.88 and 114,142.14 is: 157,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,630.25 : 289,294.88 = 114,142.14 : x
  2. Step 2: Convert to fraction form
    209,630.25/289,294.88 = 114,142.14/x
  3. Step 3: Cross multiply
    209,630.25x = 289,294.88 × 114,142.14
  4. Step 4: Simplify right side
    209,630.25x = 33,020,736,123.53
  5. Step 5: Solve for x
    x = 33,020,736,123.53/209,630.25
  6. Step 6: Final answer
    x = 157,518.95

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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.