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Finding the Fourth Proportional to 152,302.56, 228,478.32 and 52,438.20

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Solution

The fourth proportional to 152,302.56, 228,478.32 and 52,438.20 is: 78,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,302.56 : 228,478.32 = 52,438.20 : x
  2. Step 2: Convert to fraction form
    152,302.56/228,478.32 = 52,438.20/x
  3. Step 3: Cross multiply
    152,302.56x = 228,478.32 × 52,438.20
  4. Step 4: Simplify right side
    152,302.56x = 11,980,991,839.82
  5. Step 5: Solve for x
    x = 11,980,991,839.82/152,302.56
  6. Step 6: Final answer
    x = 78,665.73

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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.