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Finding the Fourth Proportional to 98,133, 135,441.21 and 57,844.38

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Solution

The fourth proportional to 98,133, 135,441.21 and 57,844.38 is: 79,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,133 : 135,441.21 = 57,844.38 : x
  2. Step 2: Convert to fraction form
    98,133/135,441.21 = 57,844.38/x
  3. Step 3: Cross multiply
    98,133x = 135,441.21 × 57,844.38
  4. Step 4: Simplify right side
    98,133x = 7,834,512,818.90
  5. Step 5: Solve for x
    x = 7,834,512,818.90/98,133
  6. Step 6: Final answer
    x = 79,835.66

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Why These Related Problems?

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