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Finding the Fourth Proportional to 207,546.30, 311,319.45 and 102,570.30

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Solution

The fourth proportional to 207,546.30, 311,319.45 and 102,570.30 is: 153,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,546.30 : 311,319.45 = 102,570.30 : x
  2. Step 2: Convert to fraction form
    207,546.30/311,319.45 = 102,570.30/x
  3. Step 3: Cross multiply
    207,546.30x = 311,319.45 × 102,570.30
  4. Step 4: Simplify right side
    207,546.30x = 31,932,129,382.34
  5. Step 5: Solve for x
    x = 31,932,129,382.34/207,546.30
  6. Step 6: Final answer
    x = 153,855.45

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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.