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Finding the Fourth Proportional to 152,096.40, 228,166.20 and 52,261.20

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Solution

The fourth proportional to 152,096.40, 228,166.20 and 52,261.20 is: 78,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,096.40 : 228,166.20 = 52,261.20 : x
  2. Step 2: Convert to fraction form
    152,096.40/228,166.20 = 52,261.20/x
  3. Step 3: Cross multiply
    152,096.40x = 228,166.20 × 52,261.20
  4. Step 4: Simplify right side
    152,096.40x = 11,924,239,411.44
  5. Step 5: Solve for x
    x = 11,924,239,411.44/152,096.40
  6. Step 6: Final answer
    x = 78,399.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.