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Finding the Fourth Proportional to 147,110.40, 220,492.80 and 68,057.64

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Solution

The fourth proportional to 147,110.40, 220,492.80 and 68,057.64 is: 102,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,110.40 : 220,492.80 = 68,057.64 : x
  2. Step 2: Convert to fraction form
    147,110.40/220,492.80 = 68,057.64/x
  3. Step 3: Cross multiply
    147,110.40x = 220,492.80 × 68,057.64
  4. Step 4: Simplify right side
    147,110.40x = 15,006,219,604.99
  5. Step 5: Solve for x
    x = 15,006,219,604.99/147,110.40
  6. Step 6: Final answer
    x = 102,006.52

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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.