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Finding the Fourth Proportional to 265,678.83, 366,632.06 and 144,821.16

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Solution

The fourth proportional to 265,678.83, 366,632.06 and 144,821.16 is: 199,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,678.83 : 366,632.06 = 144,821.16 : x
  2. Step 2: Convert to fraction form
    265,678.83/366,632.06 = 144,821.16/x
  3. Step 3: Cross multiply
    265,678.83x = 366,632.06 × 144,821.16
  4. Step 4: Simplify right side
    265,678.83x = 53,096,079,498.28
  5. Step 5: Solve for x
    x = 53,096,079,498.28/265,678.83
  6. Step 6: Final answer
    x = 199,850.62

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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.