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Finding the Fourth Proportional to 98,082, 147,123.36 and 24,210

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Solution

The fourth proportional to 98,082, 147,123.36 and 24,210 is: 36,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,082 : 147,123.36 = 24,210 : x
  2. Step 2: Convert to fraction form
    98,082/147,123.36 = 24,210/x
  3. Step 3: Cross multiply
    98,082x = 147,123.36 × 24,210
  4. Step 4: Simplify right side
    98,082x = 3,561,856,545.60
  5. Step 5: Solve for x
    x = 3,561,856,545.60/98,082
  6. Step 6: Final answer
    x = 36,315.09

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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.