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Finding the Fourth Proportional to 228,230.31, 314,851.70 and 147,683.87

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Solution

The fourth proportional to 228,230.31, 314,851.70 and 147,683.87 is: 203,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230.31 : 314,851.70 = 147,683.87 : x
  2. Step 2: Convert to fraction form
    228,230.31/314,851.70 = 147,683.87/x
  3. Step 3: Cross multiply
    228,230.31x = 314,851.70 × 147,683.87
  4. Step 4: Simplify right side
    228,230.31x = 46,498,516,327.03
  5. Step 5: Solve for x
    x = 46,498,516,327.03/228,230.31
  6. Step 6: Final answer
    x = 203,735.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.