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Finding the Fourth Proportional to 208,586.48, 312,694.16 and 75,437.14

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Solution

The fourth proportional to 208,586.48, 312,694.16 and 75,437.14 is: 113,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,586.48 : 312,694.16 = 75,437.14 : x
  2. Step 2: Convert to fraction form
    208,586.48/312,694.16 = 75,437.14/x
  3. Step 3: Cross multiply
    208,586.48x = 312,694.16 × 75,437.14
  4. Step 4: Simplify right side
    208,586.48x = 23,588,751,561.63
  5. Step 5: Solve for x
    x = 23,588,751,561.63/208,586.48
  6. Step 6: Final answer
    x = 113,088.59

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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.