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Finding the Fourth Proportional to 265,195.78, 365,970.18 and 144,337.94

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Solution

The fourth proportional to 265,195.78, 365,970.18 and 144,337.94 is: 199,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,195.78 : 365,970.18 = 144,337.94 : x
  2. Step 2: Convert to fraction form
    265,195.78/365,970.18 = 144,337.94/x
  3. Step 3: Cross multiply
    265,195.78x = 365,970.18 × 144,337.94
  4. Step 4: Simplify right side
    265,195.78x = 52,823,381,882.63
  5. Step 5: Solve for x
    x = 52,823,381,882.63/265,195.78
  6. Step 6: Final answer
    x = 199,186.36

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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.