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Finding the Fourth Proportional to 165,291.76, 228,102.62 and 98,223.76

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Solution

The fourth proportional to 165,291.76, 228,102.62 and 98,223.76 is: 135,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,291.76 : 228,102.62 = 98,223.76 : x
  2. Step 2: Convert to fraction form
    165,291.76/228,102.62 = 98,223.76/x
  3. Step 3: Cross multiply
    165,291.76x = 228,102.62 × 98,223.76
  4. Step 4: Simplify right side
    165,291.76x = 22,405,097,002.25
  5. Step 5: Solve for x
    x = 22,405,097,002.25/165,291.76
  6. Step 6: Final answer
    x = 135,548.78

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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.