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Finding the Fourth Proportional to 207,564.60, 311,303.70 and 57,766.20

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Solution

The fourth proportional to 207,564.60, 311,303.70 and 57,766.20 is: 86,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,564.60 : 311,303.70 = 57,766.20 : x
  2. Step 2: Convert to fraction form
    207,564.60/311,303.70 = 57,766.20/x
  3. Step 3: Cross multiply
    207,564.60x = 311,303.70 × 57,766.20
  4. Step 4: Simplify right side
    207,564.60x = 17,982,831,794.94
  5. Step 5: Solve for x
    x = 17,982,831,794.94/207,564.60
  6. Step 6: Final answer
    x = 86,637.28

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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.