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Finding the Fourth Proportional to 238,104.16, 328,612.08 and 137,500

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Solution

The fourth proportional to 238,104.16, 328,612.08 and 137,500 is: 189,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,104.16 : 328,612.08 = 137,500 : x
  2. Step 2: Convert to fraction form
    238,104.16/328,612.08 = 137,500/x
  3. Step 3: Cross multiply
    238,104.16x = 328,612.08 × 137,500
  4. Step 4: Simplify right side
    238,104.16x = 45,184,161,000
  5. Step 5: Solve for x
    x = 45,184,161,000/238,104.16
  6. Step 6: Final answer
    x = 189,766.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.