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Finding the Fourth Proportional to 224,859.22, 310,323.36 and 128,067.16

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Solution

The fourth proportional to 224,859.22, 310,323.36 and 128,067.16 is: 176,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,859.22 : 310,323.36 = 128,067.16 : x
  2. Step 2: Convert to fraction form
    224,859.22/310,323.36 = 128,067.16/x
  3. Step 3: Cross multiply
    224,859.22x = 310,323.36 × 128,067.16
  4. Step 4: Simplify right side
    224,859.22x = 39,742,231,396.86
  5. Step 5: Solve for x
    x = 39,742,231,396.86/224,859.22
  6. Step 6: Final answer
    x = 176,742.73

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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.