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Finding the Fourth Proportional to 97,405.20, 146,071.35 and 34,200.90

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Solution

The fourth proportional to 97,405.20, 146,071.35 and 34,200.90 is: 51,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,405.20 : 146,071.35 = 34,200.90 : x
  2. Step 2: Convert to fraction form
    97,405.20/146,071.35 = 34,200.90/x
  3. Step 3: Cross multiply
    97,405.20x = 146,071.35 × 34,200.90
  4. Step 4: Simplify right side
    97,405.20x = 4,995,771,634.22
  5. Step 5: Solve for x
    x = 4,995,771,634.22/97,405.20
  6. Step 6: Final answer
    x = 51,288.55

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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.