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Finding the Fourth Proportional to 152,334.80, 228,548.88 and 68,165.80

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Solution

The fourth proportional to 152,334.80, 228,548.88 and 68,165.80 is: 102,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,334.80 : 228,548.88 = 68,165.80 : x
  2. Step 2: Convert to fraction form
    152,334.80/228,548.88 = 68,165.80/x
  3. Step 3: Cross multiply
    152,334.80x = 228,548.88 × 68,165.80
  4. Step 4: Simplify right side
    152,334.80x = 15,579,217,244.30
  5. Step 5: Solve for x
    x = 15,579,217,244.30/152,334.80
  6. Step 6: Final answer
    x = 102,269.59

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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.