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Finding the Fourth Proportional to 280,831.80, 421,247.70 and 123,367.80

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Solution

The fourth proportional to 280,831.80, 421,247.70 and 123,367.80 is: 185,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,831.80 : 421,247.70 = 123,367.80 : x
  2. Step 2: Convert to fraction form
    280,831.80/421,247.70 = 123,367.80/x
  3. Step 3: Cross multiply
    280,831.80x = 421,247.70 × 123,367.80
  4. Step 4: Simplify right side
    280,831.80x = 51,968,402,004.06
  5. Step 5: Solve for x
    x = 51,968,402,004.06/280,831.80
  6. Step 6: Final answer
    x = 185,051.70

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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.