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Finding the Fourth Proportional to 152,273.28, 228,513.28 and 53,777.28

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Solution

The fourth proportional to 152,273.28, 228,513.28 and 53,777.28 is: 80,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,273.28 : 228,513.28 = 53,777.28 : x
  2. Step 2: Convert to fraction form
    152,273.28/228,513.28 = 53,777.28/x
  3. Step 3: Cross multiply
    152,273.28x = 228,513.28 × 53,777.28
  4. Step 4: Simplify right side
    152,273.28x = 12,288,822,642.28
  5. Step 5: Solve for x
    x = 12,288,822,642.28/152,273.28
  6. Step 6: Final answer
    x = 80,702.42

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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.