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Finding the Fourth Proportional to 235,870.72, 354,052.32 and 207,972.16

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Solution

The fourth proportional to 235,870.72, 354,052.32 and 207,972.16 is: 312,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,870.72 : 354,052.32 = 207,972.16 : x
  2. Step 2: Convert to fraction form
    235,870.72/354,052.32 = 207,972.16/x
  3. Step 3: Cross multiply
    235,870.72x = 354,052.32 × 207,972.16
  4. Step 4: Simplify right side
    235,870.72x = 73,633,025,743.41
  5. Step 5: Solve for x
    x = 73,633,025,743.41/235,870.72
  6. Step 6: Final answer
    x = 312,175.35

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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.