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Finding the Fourth Proportional to 194,900.06, 292,350.11 and 47,156.06

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Solution

The fourth proportional to 194,900.06, 292,350.11 and 47,156.06 is: 70,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900.06 : 292,350.11 = 47,156.06 : x
  2. Step 2: Convert to fraction form
    194,900.06/292,350.11 = 47,156.06/x
  3. Step 3: Cross multiply
    194,900.06x = 292,350.11 × 47,156.06
  4. Step 4: Simplify right side
    194,900.06x = 13,786,079,823.26
  5. Step 5: Solve for x
    x = 13,786,079,823.26/194,900.06
  6. Step 6: Final answer
    x = 70,734.10

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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.