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Finding the Fourth Proportional to 194,471.94, 291,705.01 and 118,592.78

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Solution

The fourth proportional to 194,471.94, 291,705.01 and 118,592.78 is: 177,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,471.94 : 291,705.01 = 118,592.78 : x
  2. Step 2: Convert to fraction form
    194,471.94/291,705.01 = 118,592.78/x
  3. Step 3: Cross multiply
    194,471.94x = 291,705.01 × 118,592.78
  4. Step 4: Simplify right side
    194,471.94x = 34,594,106,987.91
  5. Step 5: Solve for x
    x = 34,594,106,987.91/194,471.94
  6. Step 6: Final answer
    x = 177,887.40

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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.