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Finding the Fourth Proportional to 202,059.10, 303,526.05 and 194,623.30

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Solution

The fourth proportional to 202,059.10, 303,526.05 and 194,623.30 is: 292,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,059.10 : 303,526.05 = 194,623.30 : x
  2. Step 2: Convert to fraction form
    202,059.10/303,526.05 = 194,623.30/x
  3. Step 3: Cross multiply
    202,059.10x = 303,526.05 × 194,623.30
  4. Step 4: Simplify right side
    202,059.10x = 59,073,241,486.97
  5. Step 5: Solve for x
    x = 59,073,241,486.97/202,059.10
  6. Step 6: Final answer
    x = 292,356.25

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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.