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Finding the Fourth Proportional to 233,147.92, 350,071.80 and 133,420.72

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Solution

The fourth proportional to 233,147.92, 350,071.80 and 133,420.72 is: 200,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.92 : 350,071.80 = 133,420.72 : x
  2. Step 2: Convert to fraction form
    233,147.92/350,071.80 = 133,420.72/x
  3. Step 3: Cross multiply
    233,147.92x = 350,071.80 × 133,420.72
  4. Step 4: Simplify right side
    233,147.92x = 46,706,831,607.70
  5. Step 5: Solve for x
    x = 46,706,831,607.70/233,147.92
  6. Step 6: Final answer
    x = 200,331.32

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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.