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Finding the Fourth Proportional to 224,768.20, 310,366.74 and 149,657.80

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Solution

The fourth proportional to 224,768.20, 310,366.74 and 149,657.80 is: 206,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,768.20 : 310,366.74 = 149,657.80 : x
  2. Step 2: Convert to fraction form
    224,768.20/310,366.74 = 149,657.80/x
  3. Step 3: Cross multiply
    224,768.20x = 310,366.74 × 149,657.80
  4. Step 4: Simplify right side
    224,768.20x = 46,448,803,501.57
  5. Step 5: Solve for x
    x = 46,448,803,501.57/224,768.20
  6. Step 6: Final answer
    x = 206,652.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.