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Finding the Fourth Proportional to 193,253.70, 266,639.40 and 111,561.96

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Solution

The fourth proportional to 193,253.70, 266,639.40 and 111,561.96 is: 153,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,253.70 : 266,639.40 = 111,561.96 : x
  2. Step 2: Convert to fraction form
    193,253.70/266,639.40 = 111,561.96/x
  3. Step 3: Cross multiply
    193,253.70x = 266,639.40 × 111,561.96
  4. Step 4: Simplify right side
    193,253.70x = 29,746,814,077.22
  5. Step 5: Solve for x
    x = 29,746,814,077.22/193,253.70
  6. Step 6: Final answer
    x = 153,926.23

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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.