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Finding the Fourth Proportional to 235,864.72, 354,043.32 and 207,966.16

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Solution

The fourth proportional to 235,864.72, 354,043.32 and 207,966.16 is: 312,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,864.72 : 354,043.32 = 207,966.16 : x
  2. Step 2: Convert to fraction form
    235,864.72/354,043.32 = 207,966.16/x
  3. Step 3: Cross multiply
    235,864.72x = 354,043.32 × 207,966.16
  4. Step 4: Simplify right side
    235,864.72x = 73,629,029,734.05
  5. Step 5: Solve for x
    x = 73,629,029,734.05/235,864.72
  6. Step 6: Final answer
    x = 312,166.35

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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.