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Finding the Fourth Proportional to 138,245.40, 207,316.26 and 59,319

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Solution

The fourth proportional to 138,245.40, 207,316.26 and 59,319 is: 88,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,245.40 : 207,316.26 = 59,319 : x
  2. Step 2: Convert to fraction form
    138,245.40/207,316.26 = 59,319/x
  3. Step 3: Cross multiply
    138,245.40x = 207,316.26 × 59,319
  4. Step 4: Simplify right side
    138,245.40x = 12,297,793,226.94
  5. Step 5: Solve for x
    x = 12,297,793,226.94/138,245.40
  6. Step 6: Final answer
    x = 88,956.26

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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.