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Finding the Fourth Proportional to 83,137.19, 114,767.08 and 52,963.88

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Solution

The fourth proportional to 83,137.19, 114,767.08 and 52,963.88 is: 73,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.19 : 114,767.08 = 52,963.88 : x
  2. Step 2: Convert to fraction form
    83,137.19/114,767.08 = 52,963.88/x
  3. Step 3: Cross multiply
    83,137.19x = 114,767.08 × 52,963.88
  4. Step 4: Simplify right side
    83,137.19x = 6,078,509,146.83
  5. Step 5: Solve for x
    x = 6,078,509,146.83/83,137.19
  6. Step 6: Final answer
    x = 73,114.20

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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.