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Finding the Fourth Proportional to 107,223.40, 147,946.14 and 61,900.60

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Solution

The fourth proportional to 107,223.40, 147,946.14 and 61,900.60 is: 85,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223.40 : 147,946.14 = 61,900.60 : x
  2. Step 2: Convert to fraction form
    107,223.40/147,946.14 = 61,900.60/x
  3. Step 3: Cross multiply
    107,223.40x = 147,946.14 × 61,900.60
  4. Step 4: Simplify right side
    107,223.40x = 9,157,954,833.68
  5. Step 5: Solve for x
    x = 9,157,954,833.68/107,223.40
  6. Step 6: Final answer
    x = 85,410.04

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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.