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Finding the Fourth Proportional to 194,591.16, 291,243.60 and 177,104.88

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Solution

The fourth proportional to 194,591.16, 291,243.60 and 177,104.88 is: 265,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,591.16 : 291,243.60 = 177,104.88 : x
  2. Step 2: Convert to fraction form
    194,591.16/291,243.60 = 177,104.88/x
  3. Step 3: Cross multiply
    194,591.16x = 291,243.60 × 177,104.88
  4. Step 4: Simplify right side
    194,591.16x = 51,580,662,828.77
  5. Step 5: Solve for x
    x = 51,580,662,828.77/194,591.16
  6. Step 6: Final answer
    x = 265,071.97

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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.