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Finding the Fourth Proportional to 215,117.22, 296,837.70 and 119,618.22

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Solution

The fourth proportional to 215,117.22, 296,837.70 and 119,618.22 is: 165,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,117.22 : 296,837.70 = 119,618.22 : x
  2. Step 2: Convert to fraction form
    215,117.22/296,837.70 = 119,618.22/x
  3. Step 3: Cross multiply
    215,117.22x = 296,837.70 × 119,618.22
  4. Step 4: Simplify right side
    215,117.22x = 35,507,197,302.89
  5. Step 5: Solve for x
    x = 35,507,197,302.89/215,117.22
  6. Step 6: Final answer
    x = 165,059.76

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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.