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Finding the Fourth Proportional to 221,715.74, 305,967.63 and 119,741.22

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Solution

The fourth proportional to 221,715.74, 305,967.63 and 119,741.22 is: 165,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,715.74 : 305,967.63 = 119,741.22 : x
  2. Step 2: Convert to fraction form
    221,715.74/305,967.63 = 119,741.22/x
  3. Step 3: Cross multiply
    221,715.74x = 305,967.63 × 119,741.22
  4. Step 4: Simplify right side
    221,715.74x = 36,636,937,745.74
  5. Step 5: Solve for x
    x = 36,636,937,745.74/221,715.74
  6. Step 6: Final answer
    x = 165,242.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.