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Finding the Fourth Proportional to 165,424.32, 228,223.71 and 97,399.71

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Solution

The fourth proportional to 165,424.32, 228,223.71 and 97,399.71 is: 134,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,424.32 : 228,223.71 = 97,399.71 : x
  2. Step 2: Convert to fraction form
    165,424.32/228,223.71 = 97,399.71/x
  3. Step 3: Cross multiply
    165,424.32x = 228,223.71 × 97,399.71
  4. Step 4: Simplify right side
    165,424.32x = 22,228,923,169.12
  5. Step 5: Solve for x
    x = 22,228,923,169.12/165,424.32
  6. Step 6: Final answer
    x = 134,375.18

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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.