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Finding the Fourth Proportional to 202,394.10, 303,591.15 and 97,418.10

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Solution

The fourth proportional to 202,394.10, 303,591.15 and 97,418.10 is: 146,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,394.10 : 303,591.15 = 97,418.10 : x
  2. Step 2: Convert to fraction form
    202,394.10/303,591.15 = 97,418.10/x
  3. Step 3: Cross multiply
    202,394.10x = 303,591.15 × 97,418.10
  4. Step 4: Simplify right side
    202,394.10x = 29,575,273,009.82
  5. Step 5: Solve for x
    x = 29,575,273,009.82/202,394.10
  6. Step 6: Final answer
    x = 146,127.15

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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.