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Finding the Fourth Proportional to 99,402, 137,174.76 and 54,690

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Solution

The fourth proportional to 99,402, 137,174.76 and 54,690 is: 75,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,402 : 137,174.76 = 54,690 : x
  2. Step 2: Convert to fraction form
    99,402/137,174.76 = 54,690/x
  3. Step 3: Cross multiply
    99,402x = 137,174.76 × 54,690
  4. Step 4: Simplify right side
    99,402x = 7,502,087,624.40
  5. Step 5: Solve for x
    x = 7,502,087,624.40/99,402
  6. Step 6: Final answer
    x = 75,472.20

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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.