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Finding the Fourth Proportional to 272,017.60, 407,919.54 and 92,053.46

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Solution

The fourth proportional to 272,017.60, 407,919.54 and 92,053.46 is: 138,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,017.60 : 407,919.54 = 92,053.46 : x
  2. Step 2: Convert to fraction form
    272,017.60/407,919.54 = 92,053.46/x
  3. Step 3: Cross multiply
    272,017.60x = 407,919.54 × 92,053.46
  4. Step 4: Simplify right side
    272,017.60x = 37,550,405,058.61
  5. Step 5: Solve for x
    x = 37,550,405,058.61/272,017.60
  6. Step 6: Final answer
    x = 138,044.03

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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.