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Finding the Fourth Proportional to 144,058.77, 198,814.91 and 80,402.49

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Solution

The fourth proportional to 144,058.77, 198,814.91 and 80,402.49 is: 110,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,058.77 : 198,814.91 = 80,402.49 : x
  2. Step 2: Convert to fraction form
    144,058.77/198,814.91 = 80,402.49/x
  3. Step 3: Cross multiply
    144,058.77x = 198,814.91 × 80,402.49
  4. Step 4: Simplify right side
    144,058.77x = 15,985,213,411.11
  5. Step 5: Solve for x
    x = 15,985,213,411.11/144,058.77
  6. Step 6: Final answer
    x = 110,963.14

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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.