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Finding the Fourth Proportional to 235,952.94, 353,634 and 185,835.14

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Solution

The fourth proportional to 235,952.94, 353,634 and 185,835.14 is: 278,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,952.94 : 353,634 = 185,835.14 : x
  2. Step 2: Convert to fraction form
    235,952.94/353,634 = 185,835.14/x
  3. Step 3: Cross multiply
    235,952.94x = 353,634 × 185,835.14
  4. Step 4: Simplify right side
    235,952.94x = 65,717,623,898.76
  5. Step 5: Solve for x
    x = 65,717,623,898.76/235,952.94
  6. Step 6: Final answer
    x = 278,520.05

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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.