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Finding the Fourth Proportional to 97,710.30, 146,273.85 and 91,943.10

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Solution

The fourth proportional to 97,710.30, 146,273.85 and 91,943.10 is: 137,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,710.30 : 146,273.85 = 91,943.10 : x
  2. Step 2: Convert to fraction form
    97,710.30/146,273.85 = 91,943.10/x
  3. Step 3: Cross multiply
    97,710.30x = 146,273.85 × 91,943.10
  4. Step 4: Simplify right side
    97,710.30x = 13,448,871,217.94
  5. Step 5: Solve for x
    x = 13,448,871,217.94/97,710.30
  6. Step 6: Final answer
    x = 137,640.26

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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.