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Finding the Fourth Proportional to 233,895.54, 350,821.44 and 65,431.02

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Solution

The fourth proportional to 233,895.54, 350,821.44 and 65,431.02 is: 98,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,895.54 : 350,821.44 = 65,431.02 : x
  2. Step 2: Convert to fraction form
    233,895.54/350,821.44 = 65,431.02/x
  3. Step 3: Cross multiply
    233,895.54x = 350,821.44 × 65,431.02
  4. Step 4: Simplify right side
    233,895.54x = 22,954,604,657.07
  5. Step 5: Solve for x
    x = 22,954,604,657.07/233,895.54
  6. Step 6: Final answer
    x = 98,140.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.