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Finding the Fourth Proportional to 224,813.72, 310,107.21 and 148,305.64

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Solution

The fourth proportional to 224,813.72, 310,107.21 and 148,305.64 is: 204,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,813.72 : 310,107.21 = 148,305.64 : x
  2. Step 2: Convert to fraction form
    224,813.72/310,107.21 = 148,305.64/x
  3. Step 3: Cross multiply
    224,813.72x = 310,107.21 × 148,305.64
  4. Step 4: Simplify right side
    224,813.72x = 45,990,648,247.66
  5. Step 5: Solve for x
    x = 45,990,648,247.66/224,813.72
  6. Step 6: Final answer
    x = 204,572.25

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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.