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Finding the Fourth Proportional to 228,923.64, 315,876.11 and 152,556.74

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Solution

The fourth proportional to 228,923.64, 315,876.11 and 152,556.74 is: 210,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,923.64 : 315,876.11 = 152,556.74 : x
  2. Step 2: Convert to fraction form
    228,923.64/315,876.11 = 152,556.74/x
  3. Step 3: Cross multiply
    228,923.64x = 315,876.11 × 152,556.74
  4. Step 4: Simplify right side
    228,923.64x = 48,189,030,756.56
  5. Step 5: Solve for x
    x = 48,189,030,756.56/228,923.64
  6. Step 6: Final answer
    x = 210,502.64

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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.