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Finding the Fourth Proportional to 114,143.72, 157,509.78 and 63,833

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Solution

The fourth proportional to 114,143.72, 157,509.78 and 63,833 is: 88,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,143.72 : 157,509.78 = 63,833 : x
  2. Step 2: Convert to fraction form
    114,143.72/157,509.78 = 63,833/x
  3. Step 3: Cross multiply
    114,143.72x = 157,509.78 × 63,833
  4. Step 4: Simplify right side
    114,143.72x = 10,054,321,786.74
  5. Step 5: Solve for x
    x = 10,054,321,786.74/114,143.72
  6. Step 6: Final answer
    x = 88,084.76

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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.