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Finding the Fourth Proportional to 310,119.18, 428,031.17 and 189,234.60

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Solution

The fourth proportional to 310,119.18, 428,031.17 and 189,234.60 is: 261,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,119.18 : 428,031.17 = 189,234.60 : x
  2. Step 2: Convert to fraction form
    310,119.18/428,031.17 = 189,234.60/x
  3. Step 3: Cross multiply
    310,119.18x = 428,031.17 × 189,234.60
  4. Step 4: Simplify right side
    310,119.18x = 80,998,307,242.48
  5. Step 5: Solve for x
    x = 80,998,307,242.48/310,119.18
  6. Step 6: Final answer
    x = 261,184.45

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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.