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Finding the Fourth Proportional to 185,831.98, 256,435.38 and 100,947.22

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Solution

The fourth proportional to 185,831.98, 256,435.38 and 100,947.22 is: 139,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,831.98 : 256,435.38 = 100,947.22 : x
  2. Step 2: Convert to fraction form
    185,831.98/256,435.38 = 100,947.22/x
  3. Step 3: Cross multiply
    185,831.98x = 256,435.38 × 100,947.22
  4. Step 4: Simplify right side
    185,831.98x = 25,886,438,720.64
  5. Step 5: Solve for x
    x = 25,886,438,720.64/185,831.98
  6. Step 6: Final answer
    x = 139,300.24

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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.