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Finding the Fourth Proportional to 208,761.29, 313,158.84 and 59,002.82

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Solution

The fourth proportional to 208,761.29, 313,158.84 and 59,002.82 is: 88,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,761.29 : 313,158.84 = 59,002.82 : x
  2. Step 2: Convert to fraction form
    208,761.29/313,158.84 = 59,002.82/x
  3. Step 3: Cross multiply
    208,761.29x = 313,158.84 × 59,002.82
  4. Step 4: Simplify right side
    208,761.29x = 18,477,254,667.93
  5. Step 5: Solve for x
    x = 18,477,254,667.93/208,761.29
  6. Step 6: Final answer
    x = 88,509.01

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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.