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Finding the Fourth Proportional to 202,132.60, 303,242.10 and 61,905.40

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Solution

The fourth proportional to 202,132.60, 303,242.10 and 61,905.40 is: 92,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,132.60 : 303,242.10 = 61,905.40 : x
  2. Step 2: Convert to fraction form
    202,132.60/303,242.10 = 61,905.40/x
  3. Step 3: Cross multiply
    202,132.60x = 303,242.10 × 61,905.40
  4. Step 4: Simplify right side
    202,132.60x = 18,772,323,497.34
  5. Step 5: Solve for x
    x = 18,772,323,497.34/202,132.60
  6. Step 6: Final answer
    x = 92,871.33

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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.