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Finding the Fourth Proportional to 295,082.94, 407,214.47 and 167,758.53

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Solution

The fourth proportional to 295,082.94, 407,214.47 and 167,758.53 is: 231,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,082.94 : 407,214.47 = 167,758.53 : x
  2. Step 2: Convert to fraction form
    295,082.94/407,214.47 = 167,758.53/x
  3. Step 3: Cross multiply
    295,082.94x = 407,214.47 × 167,758.53
  4. Step 4: Simplify right side
    295,082.94x = 68,313,700,881.93
  5. Step 5: Solve for x
    x = 68,313,700,881.93/295,082.94
  6. Step 6: Final answer
    x = 231,506.78

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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.