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Finding the Fourth Proportional to 224,807.56, 310,299.08 and 148,382.44

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Solution

The fourth proportional to 224,807.56, 310,299.08 and 148,382.44 is: 204,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,807.56 : 310,299.08 = 148,382.44 : x
  2. Step 2: Convert to fraction form
    224,807.56/310,299.08 = 148,382.44/x
  3. Step 3: Cross multiply
    224,807.56x = 310,299.08 × 148,382.44
  4. Step 4: Simplify right side
    224,807.56x = 46,042,934,620.16
  5. Step 5: Solve for x
    x = 46,042,934,620.16/224,807.56
  6. Step 6: Final answer
    x = 204,810.44

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1.5x scale

Why These Related Problems?

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