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Finding the Fourth Proportional to 208,464.94, 312,715.86 and 58,706.56

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Solution

The fourth proportional to 208,464.94, 312,715.86 and 58,706.56 is: 88,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,464.94 : 312,715.86 = 58,706.56 : x
  2. Step 2: Convert to fraction form
    208,464.94/312,715.86 = 58,706.56/x
  3. Step 3: Cross multiply
    208,464.94x = 312,715.86 × 58,706.56
  4. Step 4: Simplify right side
    208,464.94x = 18,358,472,398.04
  5. Step 5: Solve for x
    x = 18,358,472,398.04/208,464.94
  6. Step 6: Final answer
    x = 88,065.04

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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.