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Finding the Fourth Proportional to 147,095.98, 220,762.21 and 76,039.53

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Solution

The fourth proportional to 147,095.98, 220,762.21 and 76,039.53 is: 114,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,095.98 : 220,762.21 = 76,039.53 : x
  2. Step 2: Convert to fraction form
    147,095.98/220,762.21 = 76,039.53/x
  3. Step 3: Cross multiply
    147,095.98x = 220,762.21 × 76,039.53
  4. Step 4: Simplify right side
    147,095.98x = 16,786,653,814.78
  5. Step 5: Solve for x
    x = 16,786,653,814.78/147,095.98
  6. Step 6: Final answer
    x = 114,120.41

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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.