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Finding the Fourth Proportional to 114,747, 158,365.71 and 64,446

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Solution

The fourth proportional to 114,747, 158,365.71 and 64,446 is: 88,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,747 : 158,365.71 = 64,446 : x
  2. Step 2: Convert to fraction form
    114,747/158,365.71 = 64,446/x
  3. Step 3: Cross multiply
    114,747x = 158,365.71 × 64,446
  4. Step 4: Simplify right side
    114,747x = 10,206,036,546.66
  5. Step 5: Solve for x
    x = 10,206,036,546.66/114,747
  6. Step 6: Final answer
    x = 88,943.82

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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.