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Finding the Fourth Proportional to 224,039.64, 308,967 and 163,514.40

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Solution

The fourth proportional to 224,039.64, 308,967 and 163,514.40 is: 225,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,039.64 : 308,967 = 163,514.40 : x
  2. Step 2: Convert to fraction form
    224,039.64/308,967 = 163,514.40/x
  3. Step 3: Cross multiply
    224,039.64x = 308,967 × 163,514.40
  4. Step 4: Simplify right side
    224,039.64x = 50,520,553,624.80
  5. Step 5: Solve for x
    x = 50,520,553,624.80/224,039.64
  6. Step 6: Final answer
    x = 225,498.28

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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.