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Finding the Fourth Proportional to 135,935.60, 203,903.40 and 98,416.40

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Solution

The fourth proportional to 135,935.60, 203,903.40 and 98,416.40 is: 147,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,935.60 : 203,903.40 = 98,416.40 : x
  2. Step 2: Convert to fraction form
    135,935.60/203,903.40 = 98,416.40/x
  3. Step 3: Cross multiply
    135,935.60x = 203,903.40 × 98,416.40
  4. Step 4: Simplify right side
    135,935.60x = 20,067,438,575.76
  5. Step 5: Solve for x
    x = 20,067,438,575.76/135,935.60
  6. Step 6: Final answer
    x = 147,624.60

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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.