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Finding the Fourth Proportional to 164,838.40, 247,257.60 and 144,499.30

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Solution

The fourth proportional to 164,838.40, 247,257.60 and 144,499.30 is: 216,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838.40 : 247,257.60 = 144,499.30 : x
  2. Step 2: Convert to fraction form
    164,838.40/247,257.60 = 144,499.30/x
  3. Step 3: Cross multiply
    164,838.40x = 247,257.60 × 144,499.30
  4. Step 4: Simplify right side
    164,838.40x = 35,728,550,119.68
  5. Step 5: Solve for x
    x = 35,728,550,119.68/164,838.40
  6. Step 6: Final answer
    x = 216,748.95

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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.