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Finding the Fourth Proportional to 208,554.27, 312,909.59 and 96,288.27

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Solution

The fourth proportional to 208,554.27, 312,909.59 and 96,288.27 is: 144,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,554.27 : 312,909.59 = 96,288.27 : x
  2. Step 2: Convert to fraction form
    208,554.27/312,909.59 = 96,288.27/x
  3. Step 3: Cross multiply
    208,554.27x = 312,909.59 × 96,288.27
  4. Step 4: Simplify right side
    208,554.27x = 30,129,522,606.07
  5. Step 5: Solve for x
    x = 30,129,522,606.07/208,554.27
  6. Step 6: Final answer
    x = 144,468.50

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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.