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Finding the Fourth Proportional to 208,807.31, 288,154.27 and 113,314

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Solution

The fourth proportional to 208,807.31, 288,154.27 and 113,314 is: 156,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.31 : 288,154.27 = 113,314 : x
  2. Step 2: Convert to fraction form
    208,807.31/288,154.27 = 113,314/x
  3. Step 3: Cross multiply
    208,807.31x = 288,154.27 × 113,314
  4. Step 4: Simplify right side
    208,807.31x = 32,651,912,950.78
  5. Step 5: Solve for x
    x = 32,651,912,950.78/208,807.31
  6. Step 6: Final answer
    x = 156,373.42

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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.