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Finding the Fourth Proportional to 124,082, 171,233.24 and 70,349.84

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Solution

The fourth proportional to 124,082, 171,233.24 and 70,349.84 is: 97,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,082 : 171,233.24 = 70,349.84 : x
  2. Step 2: Convert to fraction form
    124,082/171,233.24 = 70,349.84/x
  3. Step 3: Cross multiply
    124,082x = 171,233.24 × 70,349.84
  4. Step 4: Simplify right side
    124,082x = 12,046,231,036.68
  5. Step 5: Solve for x
    x = 12,046,231,036.68/124,082
  6. Step 6: Final answer
    x = 97,082.82

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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.