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Finding the Fourth Proportional to 265,088.59, 365,826.02 and 144,229.97

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Solution

The fourth proportional to 265,088.59, 365,826.02 and 144,229.97 is: 199,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,088.59 : 365,826.02 = 144,229.97 : x
  2. Step 2: Convert to fraction form
    265,088.59/365,826.02 = 144,229.97/x
  3. Step 3: Cross multiply
    265,088.59x = 365,826.02 × 144,229.97
  4. Step 4: Simplify right side
    265,088.59x = 52,763,076,083.23
  5. Step 5: Solve for x
    x = 52,763,076,083.23/265,088.59
  6. Step 6: Final answer
    x = 199,039.41

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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.