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Finding the Fourth Proportional to 208,088.80, 311,605.20 and 114,488.80

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Solution

The fourth proportional to 208,088.80, 311,605.20 and 114,488.80 is: 171,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,088.80 : 311,605.20 = 114,488.80 : x
  2. Step 2: Convert to fraction form
    208,088.80/311,605.20 = 114,488.80/x
  3. Step 3: Cross multiply
    208,088.80x = 311,605.20 × 114,488.80
  4. Step 4: Simplify right side
    208,088.80x = 35,675,305,421.76
  5. Step 5: Solve for x
    x = 35,675,305,421.76/208,088.80
  6. Step 6: Final answer
    x = 171,442.70

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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.