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Finding the Fourth Proportional to 242,496.37, 363,123.47 and 202,415.69

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Solution

The fourth proportional to 242,496.37, 363,123.47 and 202,415.69 is: 303,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,496.37 : 363,123.47 = 202,415.69 : x
  2. Step 2: Convert to fraction form
    242,496.37/363,123.47 = 202,415.69/x
  3. Step 3: Cross multiply
    242,496.37x = 363,123.47 × 202,415.69
  4. Step 4: Simplify right side
    242,496.37x = 73,501,889,149.09
  5. Step 5: Solve for x
    x = 73,501,889,149.09/242,496.37
  6. Step 6: Final answer
    x = 303,105.12

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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.