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Finding the Fourth Proportional to 147,114.25, 220,756.50 and 61,717.46

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Solution

The fourth proportional to 147,114.25, 220,756.50 and 61,717.46 is: 92,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,114.25 : 220,756.50 = 61,717.46 : x
  2. Step 2: Convert to fraction form
    147,114.25/220,756.50 = 61,717.46/x
  3. Step 3: Cross multiply
    147,114.25x = 220,756.50 × 61,717.46
  4. Step 4: Simplify right side
    147,114.25x = 13,624,529,354.71
  5. Step 5: Solve for x
    x = 13,624,529,354.71/147,114.25
  6. Step 6: Final answer
    x = 92,611.90

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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.