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Finding the Fourth Proportional to 133,735.80, 200,603.70 and 105,742.20

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Solution

The fourth proportional to 133,735.80, 200,603.70 and 105,742.20 is: 158,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,735.80 : 200,603.70 = 105,742.20 : x
  2. Step 2: Convert to fraction form
    133,735.80/200,603.70 = 105,742.20/x
  3. Step 3: Cross multiply
    133,735.80x = 200,603.70 × 105,742.20
  4. Step 4: Simplify right side
    133,735.80x = 21,212,276,566.14
  5. Step 5: Solve for x
    x = 21,212,276,566.14/133,735.80
  6. Step 6: Final answer
    x = 158,613.30

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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.