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Finding the Fourth Proportional to 239,004.54, 358,340.76 and 105,812.16

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Solution

The fourth proportional to 239,004.54, 358,340.76 and 105,812.16 is: 158,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,004.54 : 358,340.76 = 105,812.16 : x
  2. Step 2: Convert to fraction form
    239,004.54/358,340.76 = 105,812.16/x
  3. Step 3: Cross multiply
    239,004.54x = 358,340.76 × 105,812.16
  4. Step 4: Simplify right side
    239,004.54x = 37,916,809,831.64
  5. Step 5: Solve for x
    x = 37,916,809,831.64/239,004.54
  6. Step 6: Final answer
    x = 158,644.73

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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.