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Finding the Fourth Proportional to 114,696.41, 172,133.06 and 57,828.42

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Solution

The fourth proportional to 114,696.41, 172,133.06 and 57,828.42 is: 86,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.41 : 172,133.06 = 57,828.42 : x
  2. Step 2: Convert to fraction form
    114,696.41/172,133.06 = 57,828.42/x
  3. Step 3: Cross multiply
    114,696.41x = 172,133.06 × 57,828.42
  4. Step 4: Simplify right side
    114,696.41x = 9,954,182,600.42
  5. Step 5: Solve for x
    x = 9,954,182,600.42/114,696.41
  6. Step 6: Final answer
    x = 86,787.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.