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Finding the Fourth Proportional to 193,461.46, 266,963.81 and 107,416.01

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Solution

The fourth proportional to 193,461.46, 266,963.81 and 107,416.01 is: 148,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,461.46 : 266,963.81 = 107,416.01 : x
  2. Step 2: Convert to fraction form
    193,461.46/266,963.81 = 107,416.01/x
  3. Step 3: Cross multiply
    193,461.46x = 266,963.81 × 107,416.01
  4. Step 4: Simplify right side
    193,461.46x = 28,676,187,414.93
  5. Step 5: Solve for x
    x = 28,676,187,414.93/193,461.46
  6. Step 6: Final answer
    x = 148,226.88

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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.