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Finding the Fourth Proportional to 253,522.32, 380,020.70 and 158,534.50

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Solution

The fourth proportional to 253,522.32, 380,020.70 and 158,534.50 is: 237,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,522.32 : 380,020.70 = 158,534.50 : x
  2. Step 2: Convert to fraction form
    253,522.32/380,020.70 = 158,534.50/x
  3. Step 3: Cross multiply
    253,522.32x = 380,020.70 × 158,534.50
  4. Step 4: Simplify right side
    253,522.32x = 60,246,393,203.25
  5. Step 5: Solve for x
    x = 60,246,393,203.25/253,522.32
  6. Step 6: Final answer
    x = 237,637.43

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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.