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Finding the Fourth Proportional to 107,059.50, 147,739.95 and 61,739.46

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Solution

The fourth proportional to 107,059.50, 147,739.95 and 61,739.46 is: 85,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059.50 : 147,739.95 = 61,739.46 : x
  2. Step 2: Convert to fraction form
    107,059.50/147,739.95 = 61,739.46/x
  3. Step 3: Cross multiply
    107,059.50x = 147,739.95 × 61,739.46
  4. Step 4: Simplify right side
    107,059.50x = 9,121,384,733.43
  5. Step 5: Solve for x
    x = 9,121,384,733.43/107,059.50
  6. Step 6: Final answer
    x = 85,199.21

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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.