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Finding the Fourth Proportional to 217,088.10, 325,632.15 and 146,229.30

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Solution

The fourth proportional to 217,088.10, 325,632.15 and 146,229.30 is: 219,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,088.10 : 325,632.15 = 146,229.30 : x
  2. Step 2: Convert to fraction form
    217,088.10/325,632.15 = 146,229.30/x
  3. Step 3: Cross multiply
    217,088.10x = 325,632.15 × 146,229.30
  4. Step 4: Simplify right side
    217,088.10x = 47,616,961,352.00
  5. Step 5: Solve for x
    x = 47,616,961,352.00/217,088.10
  6. Step 6: Final answer
    x = 219,343.95

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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.