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Finding the Fourth Proportional to 131,409.70, 197,143.35 and 42,648.10

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Solution

The fourth proportional to 131,409.70, 197,143.35 and 42,648.10 is: 63,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,409.70 : 197,143.35 = 42,648.10 : x
  2. Step 2: Convert to fraction form
    131,409.70/197,143.35 = 42,648.10/x
  3. Step 3: Cross multiply
    131,409.70x = 197,143.35 × 42,648.10
  4. Step 4: Simplify right side
    131,409.70x = 8,407,789,305.14
  5. Step 5: Solve for x
    x = 8,407,789,305.14/131,409.70
  6. Step 6: Final answer
    x = 63,981.50

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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.