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Finding the Fourth Proportional to 235,703.52, 353,088.72 and 206,154.72

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Solution

The fourth proportional to 235,703.52, 353,088.72 and 206,154.72 is: 308,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,703.52 : 353,088.72 = 206,154.72 : x
  2. Step 2: Convert to fraction form
    235,703.52/353,088.72 = 206,154.72/x
  3. Step 3: Cross multiply
    235,703.52x = 353,088.72 × 206,154.72
  4. Step 4: Simplify right side
    235,703.52x = 72,790,906,206.76
  5. Step 5: Solve for x
    x = 72,790,906,206.76/235,703.52
  6. Step 6: Final answer
    x = 308,824.01

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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.