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Finding the Fourth Proportional to 208,894.04, 313,354.39 and 59,146.13

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Solution

The fourth proportional to 208,894.04, 313,354.39 and 59,146.13 is: 88,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,894.04 : 313,354.39 = 59,146.13 : x
  2. Step 2: Convert to fraction form
    208,894.04/313,354.39 = 59,146.13/x
  3. Step 3: Cross multiply
    208,894.04x = 313,354.39 × 59,146.13
  4. Step 4: Simplify right side
    208,894.04x = 18,533,700,314.40
  5. Step 5: Solve for x
    x = 18,533,700,314.40/208,894.04
  6. Step 6: Final answer
    x = 88,722.97

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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.