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Finding the Fourth Proportional to 135,574.40, 203,419.20 and 65,417.60

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Solution

The fourth proportional to 135,574.40, 203,419.20 and 65,417.60 is: 98,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,574.40 : 203,419.20 = 65,417.60 : x
  2. Step 2: Convert to fraction form
    135,574.40/203,419.20 = 65,417.60/x
  3. Step 3: Cross multiply
    135,574.40x = 203,419.20 × 65,417.60
  4. Step 4: Simplify right side
    135,574.40x = 13,307,195,857.92
  5. Step 5: Solve for x
    x = 13,307,195,857.92/135,574.40
  6. Step 6: Final answer
    x = 98,154.19

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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.