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Finding the Fourth Proportional to 242,761.20, 364,055.40 and 109,705.20

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Solution

The fourth proportional to 242,761.20, 364,055.40 and 109,705.20 is: 164,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,761.20 : 364,055.40 = 109,705.20 : x
  2. Step 2: Convert to fraction form
    242,761.20/364,055.40 = 109,705.20/x
  3. Step 3: Cross multiply
    242,761.20x = 364,055.40 × 109,705.20
  4. Step 4: Simplify right side
    242,761.20x = 39,938,770,468.08
  5. Step 5: Solve for x
    x = 39,938,770,468.08/242,761.20
  6. Step 6: Final answer
    x = 164,518.76

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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.