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Finding the Fourth Proportional to 101,072.14, 139,470.15 and 97,675

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Solution

The fourth proportional to 101,072.14, 139,470.15 and 97,675 is: 134,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,072.14 : 139,470.15 = 97,675 : x
  2. Step 2: Convert to fraction form
    101,072.14/139,470.15 = 97,675/x
  3. Step 3: Cross multiply
    101,072.14x = 139,470.15 × 97,675
  4. Step 4: Simplify right side
    101,072.14x = 13,622,746,901.25
  5. Step 5: Solve for x
    x = 13,622,746,901.25/101,072.14
  6. Step 6: Final answer
    x = 134,782.41

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1.5x scale

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.