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Finding the Fourth Proportional to 158,460, 218,676.54 and 86,838.49

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Solution

The fourth proportional to 158,460, 218,676.54 and 86,838.49 is: 119,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,460 : 218,676.54 = 86,838.49 : x
  2. Step 2: Convert to fraction form
    158,460/218,676.54 = 86,838.49/x
  3. Step 3: Cross multiply
    158,460x = 218,676.54 × 86,838.49
  4. Step 4: Simplify right side
    158,460x = 18,989,540,532.02
  5. Step 5: Solve for x
    x = 18,989,540,532.02/158,460
  6. Step 6: Final answer
    x = 119,838.07

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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.