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Finding the Fourth Proportional to 118,123.20, 177,184.80 and 105,220.80

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Solution

The fourth proportional to 118,123.20, 177,184.80 and 105,220.80 is: 157,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,123.20 : 177,184.80 = 105,220.80 : x
  2. Step 2: Convert to fraction form
    118,123.20/177,184.80 = 105,220.80/x
  3. Step 3: Cross multiply
    118,123.20x = 177,184.80 × 105,220.80
  4. Step 4: Simplify right side
    118,123.20x = 18,643,526,403.84
  5. Step 5: Solve for x
    x = 18,643,526,403.84/118,123.20
  6. Step 6: Final answer
    x = 157,831.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.