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Finding the Fourth Proportional to 101,023, 139,471.54 and 89,814.04

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Solution

The fourth proportional to 101,023, 139,471.54 and 89,814.04 is: 123,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,023 : 139,471.54 = 89,814.04 : x
  2. Step 2: Convert to fraction form
    101,023/139,471.54 = 89,814.04/x
  3. Step 3: Cross multiply
    101,023x = 139,471.54 × 89,814.04
  4. Step 4: Simplify right side
    101,023x = 12,526,502,472.42
  5. Step 5: Solve for x
    x = 12,526,502,472.42/101,023
  6. Step 6: Final answer
    x = 123,996.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.