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Finding the Fourth Proportional to 233,782.40, 350,443.20 and 115,356.80

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Solution

The fourth proportional to 233,782.40, 350,443.20 and 115,356.80 is: 172,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,782.40 : 350,443.20 = 115,356.80 : x
  2. Step 2: Convert to fraction form
    233,782.40/350,443.20 = 115,356.80/x
  3. Step 3: Cross multiply
    233,782.40x = 350,443.20 × 115,356.80
  4. Step 4: Simplify right side
    233,782.40x = 40,426,006,133.76
  5. Step 5: Solve for x
    x = 40,426,006,133.76/233,782.40
  6. Step 6: Final answer
    x = 172,921.51

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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.