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Finding the Fourth Proportional to 194,409.95, 291,614.92 and 61,300.58

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Solution

The fourth proportional to 194,409.95, 291,614.92 and 61,300.58 is: 91,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,409.95 : 291,614.92 = 61,300.58 : x
  2. Step 2: Convert to fraction form
    194,409.95/291,614.92 = 61,300.58/x
  3. Step 3: Cross multiply
    194,409.95x = 291,614.92 × 61,300.58
  4. Step 4: Simplify right side
    194,409.95x = 17,876,165,250.52
  5. Step 5: Solve for x
    x = 17,876,165,250.52/194,409.95
  6. Step 6: Final answer
    x = 91,950.88

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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.