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Finding the Fourth Proportional to 228,703.64, 315,765.04 and 142,793.42

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Solution

The fourth proportional to 228,703.64, 315,765.04 and 142,793.42 is: 197,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,703.64 : 315,765.04 = 142,793.42 : x
  2. Step 2: Convert to fraction form
    228,703.64/315,765.04 = 142,793.42/x
  3. Step 3: Cross multiply
    228,703.64x = 315,765.04 × 142,793.42
  4. Step 4: Simplify right side
    228,703.64x = 45,089,169,978.04
  5. Step 5: Solve for x
    x = 45,089,169,978.04/228,703.64
  6. Step 6: Final answer
    x = 197,151.08

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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.