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Finding the Fourth Proportional to 122,058.18, 183,020.53 and 96,919.18

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Solution

The fourth proportional to 122,058.18, 183,020.53 and 96,919.18 is: 145,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,058.18 : 183,020.53 = 96,919.18 : x
  2. Step 2: Convert to fraction form
    122,058.18/183,020.53 = 96,919.18/x
  3. Step 3: Cross multiply
    122,058.18x = 183,020.53 × 96,919.18
  4. Step 4: Simplify right side
    122,058.18x = 17,738,199,690.77
  5. Step 5: Solve for x
    x = 17,738,199,690.77/122,058.18
  6. Step 6: Final answer
    x = 145,325.78

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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.