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Finding the Fourth Proportional to 265,204.59, 365,983.86 and 144,345.59

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Solution

The fourth proportional to 265,204.59, 365,983.86 and 144,345.59 is: 199,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,204.59 : 365,983.86 = 144,345.59 : x
  2. Step 2: Convert to fraction form
    265,204.59/365,983.86 = 144,345.59/x
  3. Step 3: Cross multiply
    265,204.59x = 365,983.86 × 144,345.59
  4. Step 4: Simplify right side
    265,204.59x = 52,828,155,013.73
  5. Step 5: Solve for x
    x = 52,828,155,013.73/265,204.59
  6. Step 6: Final answer
    x = 199,197.74

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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.