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Finding the Fourth Proportional to 207,580.60, 311,327.70 and 57,782.20

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Solution

The fourth proportional to 207,580.60, 311,327.70 and 57,782.20 is: 86,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,580.60 : 311,327.70 = 57,782.20 : x
  2. Step 2: Convert to fraction form
    207,580.60/311,327.70 = 57,782.20/x
  3. Step 3: Cross multiply
    207,580.60x = 311,327.70 × 57,782.20
  4. Step 4: Simplify right side
    207,580.60x = 17,989,199,426.94
  5. Step 5: Solve for x
    x = 17,989,199,426.94/207,580.60
  6. Step 6: Final answer
    x = 86,661.27

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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.