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Finding the Fourth Proportional to 233,632.50, 350,410.32 and 65,164.26

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Solution

The fourth proportional to 233,632.50, 350,410.32 and 65,164.26 is: 97,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,632.50 : 350,410.32 = 65,164.26 : x
  2. Step 2: Convert to fraction form
    233,632.50/350,410.32 = 65,164.26/x
  3. Step 3: Cross multiply
    233,632.50x = 350,410.32 × 65,164.26
  4. Step 4: Simplify right side
    233,632.50x = 22,834,229,199.16
  5. Step 5: Solve for x
    x = 22,834,229,199.16/233,632.50
  6. Step 6: Final answer
    x = 97,735.67

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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.