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Finding the Fourth Proportional to 152,224.90, 228,524.55 and 96,064.90

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Solution

The fourth proportional to 152,224.90, 228,524.55 and 96,064.90 is: 144,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,224.90 : 228,524.55 = 96,064.90 : x
  2. Step 2: Convert to fraction form
    152,224.90/228,524.55 = 96,064.90/x
  3. Step 3: Cross multiply
    152,224.90x = 228,524.55 × 96,064.90
  4. Step 4: Simplify right side
    152,224.90x = 21,953,188,043.30
  5. Step 5: Solve for x
    x = 21,953,188,043.30/152,224.90
  6. Step 6: Final answer
    x = 144,215.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.