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Finding the Fourth Proportional to 242,749.61, 364,111.20 and 74,269.96

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Solution

The fourth proportional to 242,749.61, 364,111.20 and 74,269.96 is: 111,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,749.61 : 364,111.20 = 74,269.96 : x
  2. Step 2: Convert to fraction form
    242,749.61/364,111.20 = 74,269.96/x
  3. Step 3: Cross multiply
    242,749.61x = 364,111.20 × 74,269.96
  4. Step 4: Simplify right side
    242,749.61x = 27,042,525,397.40
  5. Step 5: Solve for x
    x = 27,042,525,397.40/242,749.61
  6. Step 6: Final answer
    x = 111,400.90

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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.