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Finding the Fourth Proportional to 208,627.59, 312,941.61 and 75,476.65

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Solution

The fourth proportional to 208,627.59, 312,941.61 and 75,476.65 is: 113,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,627.59 : 312,941.61 = 75,476.65 : x
  2. Step 2: Convert to fraction form
    208,627.59/312,941.61 = 75,476.65/x
  3. Step 3: Cross multiply
    208,627.59x = 312,941.61 × 75,476.65
  4. Step 4: Simplify right side
    208,627.59x = 23,619,784,368.41
  5. Step 5: Solve for x
    x = 23,619,784,368.41/208,627.59
  6. Step 6: Final answer
    x = 113,215.06

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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.