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Finding the Fourth Proportional to 265,509.75, 366,402.35 and 144,650.66

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Solution

The fourth proportional to 265,509.75, 366,402.35 and 144,650.66 is: 199,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,509.75 : 366,402.35 = 144,650.66 : x
  2. Step 2: Convert to fraction form
    265,509.75/366,402.35 = 144,650.66/x
  3. Step 3: Cross multiply
    265,509.75x = 366,402.35 × 144,650.66
  4. Step 4: Simplify right side
    265,509.75x = 53,000,341,753.05
  5. Step 5: Solve for x
    x = 53,000,341,753.05/265,509.75
  6. Step 6: Final answer
    x = 199,617.31

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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.