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Finding the Fourth Proportional to 107,057.66, 147,740.62 and 59,311.66

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Solution

The fourth proportional to 107,057.66, 147,740.62 and 59,311.66 is: 81,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,057.66 : 147,740.62 = 59,311.66 : x
  2. Step 2: Convert to fraction form
    107,057.66/147,740.62 = 59,311.66/x
  3. Step 3: Cross multiply
    107,057.66x = 147,740.62 × 59,311.66
  4. Step 4: Simplify right side
    107,057.66x = 8,762,741,421.63
  5. Step 5: Solve for x
    x = 8,762,741,421.63/107,057.66
  6. Step 6: Final answer
    x = 81,850.67

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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.