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Finding the Fourth Proportional to 152,365.30, 228,584.40 and 73,414.60

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Solution

The fourth proportional to 152,365.30, 228,584.40 and 73,414.60 is: 110,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,365.30 : 228,584.40 = 73,414.60 : x
  2. Step 2: Convert to fraction form
    152,365.30/228,584.40 = 73,414.60/x
  3. Step 3: Cross multiply
    152,365.30x = 228,584.40 × 73,414.60
  4. Step 4: Simplify right side
    152,365.30x = 16,781,432,292.24
  5. Step 5: Solve for x
    x = 16,781,432,292.24/152,365.30
  6. Step 6: Final answer
    x = 110,139.46

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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.