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Finding the Fourth Proportional to 401,005.92, 601,381.70 and 131,073.02

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Solution

The fourth proportional to 401,005.92, 601,381.70 and 131,073.02 is: 196,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,005.92 : 601,381.70 = 131,073.02 : x
  2. Step 2: Convert to fraction form
    401,005.92/601,381.70 = 131,073.02/x
  3. Step 3: Cross multiply
    401,005.92x = 601,381.70 × 131,073.02
  4. Step 4: Simplify right side
    401,005.92x = 78,824,911,929.46
  5. Step 5: Solve for x
    x = 78,824,911,929.46/401,005.92
  6. Step 6: Final answer
    x = 196,567.95

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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.