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Finding the Fourth Proportional to 208,432.52, 311,901.40 and 180,448.84

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Solution

The fourth proportional to 208,432.52, 311,901.40 and 180,448.84 is: 270,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,432.52 : 311,901.40 = 180,448.84 : x
  2. Step 2: Convert to fraction form
    208,432.52/311,901.40 = 180,448.84/x
  3. Step 3: Cross multiply
    208,432.52x = 311,901.40 × 180,448.84
  4. Step 4: Simplify right side
    208,432.52x = 56,282,245,824.38
  5. Step 5: Solve for x
    x = 56,282,245,824.38/208,432.52
  6. Step 6: Final answer
    x = 270,026.22

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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.