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Finding the Fourth Proportional to 164,082.30, 246,123.45 and 157,083.90

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Solution

The fourth proportional to 164,082.30, 246,123.45 and 157,083.90 is: 235,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,082.30 : 246,123.45 = 157,083.90 : x
  2. Step 2: Convert to fraction form
    164,082.30/246,123.45 = 157,083.90/x
  3. Step 3: Cross multiply
    164,082.30x = 246,123.45 × 157,083.90
  4. Step 4: Simplify right side
    164,082.30x = 38,662,031,407.46
  5. Step 5: Solve for x
    x = 38,662,031,407.46/164,082.30
  6. Step 6: Final answer
    x = 235,625.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.