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Finding the Fourth Proportional to 202,002.10, 303,003.15 and 146,014.90

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Solution

The fourth proportional to 202,002.10, 303,003.15 and 146,014.90 is: 219,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002.10 : 303,003.15 = 146,014.90 : x
  2. Step 2: Convert to fraction form
    202,002.10/303,003.15 = 146,014.90/x
  3. Step 3: Cross multiply
    202,002.10x = 303,003.15 × 146,014.90
  4. Step 4: Simplify right side
    202,002.10x = 44,242,974,646.94
  5. Step 5: Solve for x
    x = 44,242,974,646.94/202,002.10
  6. Step 6: Final answer
    x = 219,022.35

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1.5x scale

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.