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Finding the Fourth Proportional to 194,492.40, 291,738.60 and 159,471.60

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Solution

The fourth proportional to 194,492.40, 291,738.60 and 159,471.60 is: 239,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,492.40 : 291,738.60 = 159,471.60 : x
  2. Step 2: Convert to fraction form
    194,492.40/291,738.60 = 159,471.60/x
  3. Step 3: Cross multiply
    194,492.40x = 291,738.60 × 159,471.60
  4. Step 4: Simplify right side
    194,492.40x = 46,524,021,323.76
  5. Step 5: Solve for x
    x = 46,524,021,323.76/194,492.40
  6. Step 6: Final answer
    x = 239,207.40

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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.