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Finding the Fourth Proportional to 224,047.20, 336,070.80 and 205,384.80

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Solution

The fourth proportional to 224,047.20, 336,070.80 and 205,384.80 is: 308,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,047.20 : 336,070.80 = 205,384.80 : x
  2. Step 2: Convert to fraction form
    224,047.20/336,070.80 = 205,384.80/x
  3. Step 3: Cross multiply
    224,047.20x = 336,070.80 × 205,384.80
  4. Step 4: Simplify right side
    224,047.20x = 69,023,834,043.84
  5. Step 5: Solve for x
    x = 69,023,834,043.84/224,047.20
  6. Step 6: Final answer
    x = 308,077.20

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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.