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Finding the Fourth Proportional to 194,469, 291,703.50 and 63,141

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Solution

The fourth proportional to 194,469, 291,703.50 and 63,141 is: 94,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,469 : 291,703.50 = 63,141 : x
  2. Step 2: Convert to fraction form
    194,469/291,703.50 = 63,141/x
  3. Step 3: Cross multiply
    194,469x = 291,703.50 × 63,141
  4. Step 4: Simplify right side
    194,469x = 18,418,450,693.50
  5. Step 5: Solve for x
    x = 18,418,450,693.50/194,469
  6. Step 6: Final answer
    x = 94,711.50

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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.