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Finding the Fourth Proportional to 208,292.76, 312,306.71 and 176,713.70

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Solution

The fourth proportional to 208,292.76, 312,306.71 and 176,713.70 is: 264,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,292.76 : 312,306.71 = 176,713.70 : x
  2. Step 2: Convert to fraction form
    208,292.76/312,306.71 = 176,713.70/x
  3. Step 3: Cross multiply
    208,292.76x = 312,306.71 × 176,713.70
  4. Step 4: Simplify right side
    208,292.76x = 55,188,871,813.83
  5. Step 5: Solve for x
    x = 55,188,871,813.83/208,292.76
  6. Step 6: Final answer
    x = 264,958.19

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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.