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Finding the Fourth Proportional to 193,098.02, 266,471.25 and 105,881.90

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Solution

The fourth proportional to 193,098.02, 266,471.25 and 105,881.90 is: 146,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,098.02 : 266,471.25 = 105,881.90 : x
  2. Step 2: Convert to fraction form
    193,098.02/266,471.25 = 105,881.90/x
  3. Step 3: Cross multiply
    193,098.02x = 266,471.25 × 105,881.90
  4. Step 4: Simplify right side
    193,098.02x = 28,214,482,245.38
  5. Step 5: Solve for x
    x = 28,214,482,245.38/193,098.02
  6. Step 6: Final answer
    x = 146,114.82

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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.