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Finding the Fourth Proportional to 97,437.90, 146,266.20 and 75,349.20

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Solution

The fourth proportional to 97,437.90, 146,266.20 and 75,349.20 is: 113,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,437.90 : 146,266.20 = 75,349.20 : x
  2. Step 2: Convert to fraction form
    97,437.90/146,266.20 = 75,349.20/x
  3. Step 3: Cross multiply
    97,437.90x = 146,266.20 × 75,349.20
  4. Step 4: Simplify right side
    97,437.90x = 11,021,041,157.04
  5. Step 5: Solve for x
    x = 11,021,041,157.04/97,437.90
  6. Step 6: Final answer
    x = 113,108.36

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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.