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Finding the Fourth Proportional to 242,174.61, 363,263.94 and 84,402.81

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Solution

The fourth proportional to 242,174.61, 363,263.94 and 84,402.81 is: 126,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,174.61 : 363,263.94 = 84,402.81 : x
  2. Step 2: Convert to fraction form
    242,174.61/363,263.94 = 84,402.81/x
  3. Step 3: Cross multiply
    242,174.61x = 363,263.94 × 84,402.81
  4. Step 4: Simplify right side
    242,174.61x = 30,660,497,307.67
  5. Step 5: Solve for x
    x = 30,660,497,307.67/242,174.61
  6. Step 6: Final answer
    x = 126,604.92

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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.