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Finding the Fourth Proportional to 202,598.29, 303,897.57 and 52,838.20

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Solution

The fourth proportional to 202,598.29, 303,897.57 and 52,838.20 is: 79,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,598.29 : 303,897.57 = 52,838.20 : x
  2. Step 2: Convert to fraction form
    202,598.29/303,897.57 = 52,838.20/x
  3. Step 3: Cross multiply
    202,598.29x = 303,897.57 × 52,838.20
  4. Step 4: Simplify right side
    202,598.29x = 16,057,400,583.17
  5. Step 5: Solve for x
    x = 16,057,400,583.17/202,598.29
  6. Step 6: Final answer
    x = 79,257.34

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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.