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Finding the Fourth Proportional to 242,551.92, 334,721.84 and 135,122.22

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Solution

The fourth proportional to 242,551.92, 334,721.84 and 135,122.22 is: 186,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,551.92 : 334,721.84 = 135,122.22 : x
  2. Step 2: Convert to fraction form
    242,551.92/334,721.84 = 135,122.22/x
  3. Step 3: Cross multiply
    242,551.92x = 334,721.84 × 135,122.22
  4. Step 4: Simplify right side
    242,551.92x = 45,228,357,427.67
  5. Step 5: Solve for x
    x = 45,228,357,427.67/242,551.92
  6. Step 6: Final answer
    x = 186,468.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.