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Finding the Fourth Proportional to 202,038.70, 302,863.65 and 157,035.10

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Solution

The fourth proportional to 202,038.70, 302,863.65 and 157,035.10 is: 235,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038.70 : 302,863.65 = 157,035.10 : x
  2. Step 2: Convert to fraction form
    202,038.70/302,863.65 = 157,035.10/x
  3. Step 3: Cross multiply
    202,038.70x = 302,863.65 × 157,035.10
  4. Step 4: Simplify right side
    202,038.70x = 47,560,223,564.12
  5. Step 5: Solve for x
    x = 47,560,223,564.12/202,038.70
  6. Step 6: Final answer
    x = 235,401.55

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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.