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Finding the Fourth Proportional to 224,301.60, 309,543.12 and 128,827.44

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Solution

The fourth proportional to 224,301.60, 309,543.12 and 128,827.44 is: 177,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,301.60 : 309,543.12 = 128,827.44 : x
  2. Step 2: Convert to fraction form
    224,301.60/309,543.12 = 128,827.44/x
  3. Step 3: Cross multiply
    224,301.60x = 309,543.12 × 128,827.44
  4. Step 4: Simplify right side
    224,301.60x = 39,877,647,719.21
  5. Step 5: Solve for x
    x = 39,877,647,719.21/224,301.60
  6. Step 6: Final answer
    x = 177,785.84

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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.