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Finding the Fourth Proportional to 194,931.66, 269,006.50 and 105,507.66

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Solution

The fourth proportional to 194,931.66, 269,006.50 and 105,507.66 is: 145,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,931.66 : 269,006.50 = 105,507.66 : x
  2. Step 2: Convert to fraction form
    194,931.66/269,006.50 = 105,507.66/x
  3. Step 3: Cross multiply
    194,931.66x = 269,006.50 × 105,507.66
  4. Step 4: Simplify right side
    194,931.66x = 28,382,246,339.79
  5. Step 5: Solve for x
    x = 28,382,246,339.79/194,931.66
  6. Step 6: Final answer
    x = 145,601.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.