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Finding the Fourth Proportional to 152,078.80, 228,096.60 and 52,243.60

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Solution

The fourth proportional to 152,078.80, 228,096.60 and 52,243.60 is: 78,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,078.80 : 228,096.60 = 52,243.60 : x
  2. Step 2: Convert to fraction form
    152,078.80/228,096.60 = 52,243.60/x
  3. Step 3: Cross multiply
    152,078.80x = 228,096.60 × 52,243.60
  4. Step 4: Simplify right side
    152,078.80x = 11,916,587,531.76
  5. Step 5: Solve for x
    x = 11,916,587,531.76/152,078.80
  6. Step 6: Final answer
    x = 78,357.98

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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.