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Finding the Fourth Proportional to 235,634.10, 353,623.95 and 156,722.10

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Solution

The fourth proportional to 235,634.10, 353,623.95 and 156,722.10 is: 235,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,634.10 : 353,623.95 = 156,722.10 : x
  2. Step 2: Convert to fraction form
    235,634.10/353,623.95 = 156,722.10/x
  3. Step 3: Cross multiply
    235,634.10x = 353,623.95 × 156,722.10
  4. Step 4: Simplify right side
    235,634.10x = 55,420,688,054.30
  5. Step 5: Solve for x
    x = 55,420,688,054.30/235,634.10
  6. Step 6: Final answer
    x = 235,198.08

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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.