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Finding the Fourth Proportional to 158,013.41, 218,005.09 and 89,982.14

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Solution

The fourth proportional to 158,013.41, 218,005.09 and 89,982.14 is: 124,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,013.41 : 218,005.09 = 89,982.14 : x
  2. Step 2: Convert to fraction form
    158,013.41/218,005.09 = 89,982.14/x
  3. Step 3: Cross multiply
    158,013.41x = 218,005.09 × 89,982.14
  4. Step 4: Simplify right side
    158,013.41x = 19,616,564,031.63
  5. Step 5: Solve for x
    x = 19,616,564,031.63/158,013.41
  6. Step 6: Final answer
    x = 124,144.94

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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.