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Finding the Fourth Proportional to 144,840.90, 217,261.35 and 97,839.30

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Solution

The fourth proportional to 144,840.90, 217,261.35 and 97,839.30 is: 146,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,840.90 : 217,261.35 = 97,839.30 : x
  2. Step 2: Convert to fraction form
    144,840.90/217,261.35 = 97,839.30/x
  3. Step 3: Cross multiply
    144,840.90x = 217,261.35 × 97,839.30
  4. Step 4: Simplify right side
    144,840.90x = 21,256,698,401.06
  5. Step 5: Solve for x
    x = 21,256,698,401.06/144,840.90
  6. Step 6: Final answer
    x = 146,758.95

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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.