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Finding the Fourth Proportional to 152,832.74, 228,950.87 and 100,082.30

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Solution

The fourth proportional to 152,832.74, 228,950.87 and 100,082.30 is: 149,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,832.74 : 228,950.87 = 100,082.30 : x
  2. Step 2: Convert to fraction form
    152,832.74/228,950.87 = 100,082.30/x
  3. Step 3: Cross multiply
    152,832.74x = 228,950.87 × 100,082.30
  4. Step 4: Simplify right side
    152,832.74x = 22,913,929,656.60
  5. Step 5: Solve for x
    x = 22,913,929,656.60/152,832.74
  6. Step 6: Final answer
    x = 149,928.15

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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.