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Finding the Fourth Proportional to 98,741.16, 136,262.22 and 53,419

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Solution

The fourth proportional to 98,741.16, 136,262.22 and 53,419 is: 73,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,741.16 : 136,262.22 = 53,419 : x
  2. Step 2: Convert to fraction form
    98,741.16/136,262.22 = 53,419/x
  3. Step 3: Cross multiply
    98,741.16x = 136,262.22 × 53,419
  4. Step 4: Simplify right side
    98,741.16x = 7,278,991,530.18
  5. Step 5: Solve for x
    x = 7,278,991,530.18/98,741.16
  6. Step 6: Final answer
    x = 73,717.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.