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Finding the Fourth Proportional to 214,927.22, 296,585.96 and 119,428.22

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Solution

The fourth proportional to 214,927.22, 296,585.96 and 119,428.22 is: 164,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,927.22 : 296,585.96 = 119,428.22 : x
  2. Step 2: Convert to fraction form
    214,927.22/296,585.96 = 119,428.22/x
  3. Step 3: Cross multiply
    214,927.22x = 296,585.96 × 119,428.22
  4. Step 4: Simplify right side
    214,927.22x = 35,420,731,199.72
  5. Step 5: Solve for x
    x = 35,420,731,199.72/214,927.22
  6. Step 6: Final answer
    x = 164,803.38

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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.