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Finding the Fourth Proportional to 273,415.60, 409,831.80 and 104,870.80

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Solution

The fourth proportional to 273,415.60, 409,831.80 and 104,870.80 is: 157,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,415.60 : 409,831.80 = 104,870.80 : x
  2. Step 2: Convert to fraction form
    273,415.60/409,831.80 = 104,870.80/x
  3. Step 3: Cross multiply
    273,415.60x = 409,831.80 × 104,870.80
  4. Step 4: Simplify right side
    273,415.60x = 42,979,388,731.44
  5. Step 5: Solve for x
    x = 42,979,388,731.44/273,415.60
  6. Step 6: Final answer
    x = 157,194.35

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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.