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Finding the Fourth Proportional to 202,997.40, 304,496.10 and 97,762.20

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Solution

The fourth proportional to 202,997.40, 304,496.10 and 97,762.20 is: 146,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,997.40 : 304,496.10 = 97,762.20 : x
  2. Step 2: Convert to fraction form
    202,997.40/304,496.10 = 97,762.20/x
  3. Step 3: Cross multiply
    202,997.40x = 304,496.10 × 97,762.20
  4. Step 4: Simplify right side
    202,997.40x = 29,768,208,627.42
  5. Step 5: Solve for x
    x = 29,768,208,627.42/202,997.40
  6. Step 6: Final answer
    x = 146,643.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.