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Finding the Fourth Proportional to 134,005.11, 185,013.59 and 83,072.27

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Solution

The fourth proportional to 134,005.11, 185,013.59 and 83,072.27 is: 114,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,005.11 : 185,013.59 = 83,072.27 : x
  2. Step 2: Convert to fraction form
    134,005.11/185,013.59 = 83,072.27/x
  3. Step 3: Cross multiply
    134,005.11x = 185,013.59 × 83,072.27
  4. Step 4: Simplify right side
    134,005.11x = 15,369,498,104.51
  5. Step 5: Solve for x
    x = 15,369,498,104.51/134,005.11
  6. Step 6: Final answer
    x = 114,693.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.