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Finding the Fourth Proportional to 194,900.71, 292,351.07 and 47,156.71

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Solution

The fourth proportional to 194,900.71, 292,351.07 and 47,156.71 is: 70,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900.71 : 292,351.07 = 47,156.71 : x
  2. Step 2: Convert to fraction form
    194,900.71/292,351.07 = 47,156.71/x
  3. Step 3: Cross multiply
    194,900.71x = 292,351.07 × 47,156.71
  4. Step 4: Simplify right side
    194,900.71x = 13,786,314,626.18
  5. Step 5: Solve for x
    x = 13,786,314,626.18/194,900.71
  6. Step 6: Final answer
    x = 70,735.07

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1.5x scale

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.