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Finding the Fourth Proportional to 242,238.36, 334,294.38 and 134,819.40

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Solution

The fourth proportional to 242,238.36, 334,294.38 and 134,819.40 is: 186,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,238.36 : 334,294.38 = 134,819.40 : x
  2. Step 2: Convert to fraction form
    242,238.36/334,294.38 = 134,819.40/x
  3. Step 3: Cross multiply
    242,238.36x = 334,294.38 × 134,819.40
  4. Step 4: Simplify right side
    242,238.36x = 45,069,367,734.97
  5. Step 5: Solve for x
    x = 45,069,367,734.97/242,238.36
  6. Step 6: Final answer
    x = 186,053.80

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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.