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Finding the Fourth Proportional to 217,073.42, 325,970.98 and 146,450.40

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Solution

The fourth proportional to 217,073.42, 325,970.98 and 146,450.40 is: 219,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,073.42 : 325,970.98 = 146,450.40 : x
  2. Step 2: Convert to fraction form
    217,073.42/325,970.98 = 146,450.40/x
  3. Step 3: Cross multiply
    217,073.42x = 325,970.98 × 146,450.40
  4. Step 4: Simplify right side
    217,073.42x = 47,738,582,395.04
  5. Step 5: Solve for x
    x = 47,738,582,395.04/217,073.42
  6. Step 6: Final answer
    x = 219,919.06

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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.