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Finding the Fourth Proportional to 100,885.34, 151,254.20 and 34,307.60

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Solution

The fourth proportional to 100,885.34, 151,254.20 and 34,307.60 is: 51,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885.34 : 151,254.20 = 34,307.60 : x
  2. Step 2: Convert to fraction form
    100,885.34/151,254.20 = 34,307.60/x
  3. Step 3: Cross multiply
    100,885.34x = 151,254.20 × 34,307.60
  4. Step 4: Simplify right side
    100,885.34x = 5,189,167,921.42
  5. Step 5: Solve for x
    x = 5,189,167,921.42/100,885.34
  6. Step 6: Final answer
    x = 51,436.29

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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.