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Finding the Fourth Proportional to 233,145.92, 350,068.80 and 133,418.72

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Solution

The fourth proportional to 233,145.92, 350,068.80 and 133,418.72 is: 200,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,145.92 : 350,068.80 = 133,418.72 : x
  2. Step 2: Convert to fraction form
    233,145.92/350,068.80 = 133,418.72/x
  3. Step 3: Cross multiply
    233,145.92x = 350,068.80 × 133,418.72
  4. Step 4: Simplify right side
    233,145.92x = 46,705,731,207.94
  5. Step 5: Solve for x
    x = 46,705,731,207.94/233,145.92
  6. Step 6: Final answer
    x = 200,328.32

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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.