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Finding the Fourth Proportional to 135,358.98, 202,069.70 and 117,649.14

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Solution

The fourth proportional to 135,358.98, 202,069.70 and 117,649.14 is: 175,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,358.98 : 202,069.70 = 117,649.14 : x
  2. Step 2: Convert to fraction form
    135,358.98/202,069.70 = 117,649.14/x
  3. Step 3: Cross multiply
    135,358.98x = 202,069.70 × 117,649.14
  4. Step 4: Simplify right side
    135,358.98x = 23,773,325,836.81
  5. Step 5: Solve for x
    x = 23,773,325,836.81/135,358.98
  6. Step 6: Final answer
    x = 175,631.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.