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Finding the Fourth Proportional to 265,408.50, 366,258.26 and 144,551.91

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Solution

The fourth proportional to 265,408.50, 366,258.26 and 144,551.91 is: 199,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,408.50 : 366,258.26 = 144,551.91 : x
  2. Step 2: Convert to fraction form
    265,408.50/366,258.26 = 144,551.91/x
  3. Step 3: Cross multiply
    265,408.50x = 366,258.26 × 144,551.91
  4. Step 4: Simplify right side
    265,408.50x = 52,943,331,397.66
  5. Step 5: Solve for x
    x = 52,943,331,397.66/265,408.50
  6. Step 6: Final answer
    x = 199,478.66

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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.