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Finding the Fourth Proportional to 207,543.11, 311,314.89 and 57,783.73

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Solution

The fourth proportional to 207,543.11, 311,314.89 and 57,783.73 is: 86,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,543.11 : 311,314.89 = 57,783.73 : x
  2. Step 2: Convert to fraction form
    207,543.11/311,314.89 = 57,783.73/x
  3. Step 3: Cross multiply
    207,543.11x = 311,314.89 × 57,783.73
  4. Step 4: Simplify right side
    207,543.11x = 17,988,935,570.86
  5. Step 5: Solve for x
    x = 17,988,935,570.86/207,543.11
  6. Step 6: Final answer
    x = 86,675.66

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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.