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Finding the Fourth Proportional to 265,126.24, 397,042.98 and 201,878.20

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Solution

The fourth proportional to 265,126.24, 397,042.98 and 201,878.20 is: 302,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,126.24 : 397,042.98 = 201,878.20 : x
  2. Step 2: Convert to fraction form
    265,126.24/397,042.98 = 201,878.20/x
  3. Step 3: Cross multiply
    265,126.24x = 397,042.98 × 201,878.20
  4. Step 4: Simplify right side
    265,126.24x = 80,154,322,125.04
  5. Step 5: Solve for x
    x = 80,154,322,125.04/265,126.24
  6. Step 6: Final answer
    x = 302,325.12

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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.