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Finding the Fourth Proportional to 265,586.85, 366,509.86 and 144,728.10

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Solution

The fourth proportional to 265,586.85, 366,509.86 and 144,728.10 is: 199,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,586.85 : 366,509.86 = 144,728.10 : x
  2. Step 2: Convert to fraction form
    265,586.85/366,509.86 = 144,728.10/x
  3. Step 3: Cross multiply
    265,586.85x = 366,509.86 × 144,728.10
  4. Step 4: Simplify right side
    265,586.85x = 53,044,275,307.25
  5. Step 5: Solve for x
    x = 53,044,275,307.25/265,586.85
  6. Step 6: Final answer
    x = 199,724.78

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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.