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Finding the Fourth Proportional to 228,335.66, 342,418.53 and 78,533.90

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Solution

The fourth proportional to 228,335.66, 342,418.53 and 78,533.90 is: 117,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,335.66 : 342,418.53 = 78,533.90 : x
  2. Step 2: Convert to fraction form
    228,335.66/342,418.53 = 78,533.90/x
  3. Step 3: Cross multiply
    228,335.66x = 342,418.53 × 78,533.90
  4. Step 4: Simplify right side
    228,335.66x = 26,891,462,593.17
  5. Step 5: Solve for x
    x = 26,891,462,593.17/228,335.66
  6. Step 6: Final answer
    x = 117,771.63

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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.