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Finding the Fourth Proportional to 135,047.36, 202,571.14 and 35,207.30

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Solution

The fourth proportional to 135,047.36, 202,571.14 and 35,207.30 is: 52,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,047.36 : 202,571.14 = 35,207.30 : x
  2. Step 2: Convert to fraction form
    135,047.36/202,571.14 = 35,207.30/x
  3. Step 3: Cross multiply
    135,047.36x = 202,571.14 × 35,207.30
  4. Step 4: Simplify right side
    135,047.36x = 7,131,982,897.32
  5. Step 5: Solve for x
    x = 7,131,982,897.32/135,047.36
  6. Step 6: Final answer
    x = 52,810.98

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1.5x scale

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.