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Finding the Fourth Proportional to 208,678.77, 313,057.08 and 94,834.59

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Solution

The fourth proportional to 208,678.77, 313,057.08 and 94,834.59 is: 142,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,678.77 : 313,057.08 = 94,834.59 : x
  2. Step 2: Convert to fraction form
    208,678.77/313,057.08 = 94,834.59/x
  3. Step 3: Cross multiply
    208,678.77x = 313,057.08 × 94,834.59
  4. Step 4: Simplify right side
    208,678.77x = 29,688,639,828.40
  5. Step 5: Solve for x
    x = 29,688,639,828.40/208,678.77
  6. Step 6: Final answer
    x = 142,269.57

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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.