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Finding the Fourth Proportional to 107,082, 160,624.11 and 43,885.90

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Solution

The fourth proportional to 107,082, 160,624.11 and 43,885.90 is: 65,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082 : 160,624.11 = 43,885.90 : x
  2. Step 2: Convert to fraction form
    107,082/160,624.11 = 43,885.90/x
  3. Step 3: Cross multiply
    107,082x = 160,624.11 × 43,885.90
  4. Step 4: Simplify right side
    107,082x = 7,049,133,994.40
  5. Step 5: Solve for x
    x = 7,049,133,994.40/107,082
  6. Step 6: Final answer
    x = 65,829.31

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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.