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Finding the Fourth Proportional to 202,207.70, 303,117.15 and 157,204.10

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Solution

The fourth proportional to 202,207.70, 303,117.15 and 157,204.10 is: 235,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207.70 : 303,117.15 = 157,204.10 : x
  2. Step 2: Convert to fraction form
    202,207.70/303,117.15 = 157,204.10/x
  3. Step 3: Cross multiply
    202,207.70x = 303,117.15 × 157,204.10
  4. Step 4: Simplify right side
    202,207.70x = 47,651,258,760.32
  5. Step 5: Solve for x
    x = 47,651,258,760.32/202,207.70
  6. Step 6: Final answer
    x = 235,655.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.