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Finding the Fourth Proportional to 144,838.90, 217,258.35 and 97,837.30

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Solution

The fourth proportional to 144,838.90, 217,258.35 and 97,837.30 is: 146,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,838.90 : 217,258.35 = 97,837.30 : x
  2. Step 2: Convert to fraction form
    144,838.90/217,258.35 = 97,837.30/x
  3. Step 3: Cross multiply
    144,838.90x = 217,258.35 × 97,837.30
  4. Step 4: Simplify right side
    144,838.90x = 21,255,970,366.46
  5. Step 5: Solve for x
    x = 21,255,970,366.46/144,838.90
  6. Step 6: Final answer
    x = 146,755.95

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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.