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Finding the Fourth Proportional to 97,440.93, 146,102.22 and 38,205.63

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Solution

The fourth proportional to 97,440.93, 146,102.22 and 38,205.63 is: 57,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,440.93 : 146,102.22 = 38,205.63 : x
  2. Step 2: Convert to fraction form
    97,440.93/146,102.22 = 38,205.63/x
  3. Step 3: Cross multiply
    97,440.93x = 146,102.22 × 38,205.63
  4. Step 4: Simplify right side
    97,440.93x = 5,581,927,359.50
  5. Step 5: Solve for x
    x = 5,581,927,359.50/97,440.93
  6. Step 6: Final answer
    x = 57,285.24

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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.