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Finding the Fourth Proportional to 208,446.59, 313,088.31 and 124,370.82

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Solution

The fourth proportional to 208,446.59, 313,088.31 and 124,370.82 is: 186,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,446.59 : 313,088.31 = 124,370.82 : x
  2. Step 2: Convert to fraction form
    208,446.59/313,088.31 = 124,370.82/x
  3. Step 3: Cross multiply
    208,446.59x = 313,088.31 × 124,370.82
  4. Step 4: Simplify right side
    208,446.59x = 38,939,049,847.11
  5. Step 5: Solve for x
    x = 38,939,049,847.11/208,446.59
  6. Step 6: Final answer
    x = 186,805.89

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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.