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Finding the Fourth Proportional to 215,082.60, 296,812.18 and 119,588.46

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Solution

The fourth proportional to 215,082.60, 296,812.18 and 119,588.46 is: 165,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,082.60 : 296,812.18 = 119,588.46 : x
  2. Step 2: Convert to fraction form
    215,082.60/296,812.18 = 119,588.46/x
  3. Step 3: Cross multiply
    215,082.60x = 296,812.18 × 119,588.46
  4. Step 4: Simplify right side
    215,082.60x = 35,495,310,031.38
  5. Step 5: Solve for x
    x = 35,495,310,031.38/215,082.60
  6. Step 6: Final answer
    x = 165,031.07

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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.