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Finding the Fourth Proportional to 97,744.30, 146,908.05 and 84,913.90

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Solution

The fourth proportional to 97,744.30, 146,908.05 and 84,913.90 is: 127,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,744.30 : 146,908.05 = 84,913.90 : x
  2. Step 2: Convert to fraction form
    97,744.30/146,908.05 = 84,913.90/x
  3. Step 3: Cross multiply
    97,744.30x = 146,908.05 × 84,913.90
  4. Step 4: Simplify right side
    97,744.30x = 12,474,535,466.90
  5. Step 5: Solve for x
    x = 12,474,535,466.90/97,744.30
  6. Step 6: Final answer
    x = 127,624.17

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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.