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Finding the Fourth Proportional to 208,524.74, 287,763.85 and 113,031.41

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Solution

The fourth proportional to 208,524.74, 287,763.85 and 113,031.41 is: 155,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.74 : 287,763.85 = 113,031.41 : x
  2. Step 2: Convert to fraction form
    208,524.74/287,763.85 = 113,031.41/x
  3. Step 3: Cross multiply
    208,524.74x = 287,763.85 × 113,031.41
  4. Step 4: Simplify right side
    208,524.74x = 32,526,353,712.53
  5. Step 5: Solve for x
    x = 32,526,353,712.53/208,524.74
  6. Step 6: Final answer
    x = 155,983.19

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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.