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Finding the Fourth Proportional to 224,036, 336,062.16 and 74,289.38

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Solution

The fourth proportional to 224,036, 336,062.16 and 74,289.38 is: 111,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,036 : 336,062.16 = 74,289.38 : x
  2. Step 2: Convert to fraction form
    224,036/336,062.16 = 74,289.38/x
  3. Step 3: Cross multiply
    224,036x = 336,062.16 × 74,289.38
  4. Step 4: Simplify right side
    224,036x = 24,965,849,507.86
  5. Step 5: Solve for x
    x = 24,965,849,507.86/224,036
  6. Step 6: Final answer
    x = 111,436.78

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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.