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Finding the Fourth Proportional to 242,424.81, 363,141.48 and 197,605.89

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Solution

The fourth proportional to 242,424.81, 363,141.48 and 197,605.89 is: 296,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,424.81 : 363,141.48 = 197,605.89 : x
  2. Step 2: Convert to fraction form
    242,424.81/363,141.48 = 197,605.89/x
  3. Step 3: Cross multiply
    242,424.81x = 363,141.48 × 197,605.89
  4. Step 4: Simplify right side
    242,424.81x = 71,758,895,351.32
  5. Step 5: Solve for x
    x = 71,758,895,351.32/242,424.81
  6. Step 6: Final answer
    x = 296,004.75

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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.