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Finding the Fourth Proportional to 273,941.56, 411,042.66 and 189,831.16

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Solution

The fourth proportional to 273,941.56, 411,042.66 and 189,831.16 is: 284,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,941.56 : 411,042.66 = 189,831.16 : x
  2. Step 2: Convert to fraction form
    273,941.56/411,042.66 = 189,831.16/x
  3. Step 3: Cross multiply
    273,941.56x = 411,042.66 × 189,831.16
  4. Step 4: Simplify right side
    273,941.56x = 78,028,704,957.29
  5. Step 5: Solve for x
    x = 78,028,704,957.29/273,941.56
  6. Step 6: Final answer
    x = 284,837.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.