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Finding the Fourth Proportional to 224,101.44, 309,256.44 and 128,605.92

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Solution

The fourth proportional to 224,101.44, 309,256.44 and 128,605.92 is: 177,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,101.44 : 309,256.44 = 128,605.92 : x
  2. Step 2: Convert to fraction form
    224,101.44/309,256.44 = 128,605.92/x
  3. Step 3: Cross multiply
    224,101.44x = 309,256.44 × 128,605.92
  4. Step 4: Simplify right side
    224,101.44x = 39,772,208,982.12
  5. Step 5: Solve for x
    x = 39,772,208,982.12/224,101.44
  6. Step 6: Final answer
    x = 177,474.13

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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.