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Finding the Fourth Proportional to 226,792.32, 312,978.24 and 126,196.80

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Solution

The fourth proportional to 226,792.32, 312,978.24 and 126,196.80 is: 174,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,792.32 : 312,978.24 = 126,196.80 : x
  2. Step 2: Convert to fraction form
    226,792.32/312,978.24 = 126,196.80/x
  3. Step 3: Cross multiply
    226,792.32x = 312,978.24 × 126,196.80
  4. Step 4: Simplify right side
    226,792.32x = 39,496,852,357.63
  5. Step 5: Solve for x
    x = 39,496,852,357.63/226,792.32
  6. Step 6: Final answer
    x = 174,154.28

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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.