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Finding the Fourth Proportional to 217,007.64, 325,582.74 and 136,952.91

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Solution

The fourth proportional to 217,007.64, 325,582.74 and 136,952.91 is: 205,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,007.64 : 325,582.74 = 136,952.91 : x
  2. Step 2: Convert to fraction form
    217,007.64/325,582.74 = 136,952.91/x
  3. Step 3: Cross multiply
    217,007.64x = 325,582.74 × 136,952.91
  4. Step 4: Simplify right side
    217,007.64x = 44,589,503,688.77
  5. Step 5: Solve for x
    x = 44,589,503,688.77/217,007.64
  6. Step 6: Final answer
    x = 205,474.35

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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.