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Finding the Fourth Proportional to 107,311.58, 148,089.87 and 59,564.82

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Solution

The fourth proportional to 107,311.58, 148,089.87 and 59,564.82 is: 82,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,311.58 : 148,089.87 = 59,564.82 : x
  2. Step 2: Convert to fraction form
    107,311.58/148,089.87 = 59,564.82/x
  3. Step 3: Cross multiply
    107,311.58x = 148,089.87 × 59,564.82
  4. Step 4: Simplify right side
    107,311.58x = 8,820,946,172.70
  5. Step 5: Solve for x
    x = 8,820,946,172.70/107,311.58
  6. Step 6: Final answer
    x = 82,199.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.