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Finding the Fourth Proportional to 152,168.24, 210,021 and 101,954.48

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Solution

The fourth proportional to 152,168.24, 210,021 and 101,954.48 is: 140,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,168.24 : 210,021 = 101,954.48 : x
  2. Step 2: Convert to fraction form
    152,168.24/210,021 = 101,954.48/x
  3. Step 3: Cross multiply
    152,168.24x = 210,021 × 101,954.48
  4. Step 4: Simplify right side
    152,168.24x = 21,412,581,844.08
  5. Step 5: Solve for x
    x = 21,412,581,844.08/152,168.24
  6. Step 6: Final answer
    x = 140,716.50

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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.