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Finding the Fourth Proportional to 103,714.40, 155,571.60 and 78,831.20

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Solution

The fourth proportional to 103,714.40, 155,571.60 and 78,831.20 is: 118,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,714.40 : 155,571.60 = 78,831.20 : x
  2. Step 2: Convert to fraction form
    103,714.40/155,571.60 = 78,831.20/x
  3. Step 3: Cross multiply
    103,714.40x = 155,571.60 × 78,831.20
  4. Step 4: Simplify right side
    103,714.40x = 12,263,895,913.92
  5. Step 5: Solve for x
    x = 12,263,895,913.92/103,714.40
  6. Step 6: Final answer
    x = 118,246.80

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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.