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Finding the Fourth Proportional to 161,710.70, 242,566.05 and 135,466.70

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Solution

The fourth proportional to 161,710.70, 242,566.05 and 135,466.70 is: 203,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,710.70 : 242,566.05 = 135,466.70 : x
  2. Step 2: Convert to fraction form
    161,710.70/242,566.05 = 135,466.70/x
  3. Step 3: Cross multiply
    161,710.70x = 242,566.05 × 135,466.70
  4. Step 4: Simplify right side
    161,710.70x = 32,859,622,325.54
  5. Step 5: Solve for x
    x = 32,859,622,325.54/161,710.70
  6. Step 6: Final answer
    x = 203,200.05

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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.