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Finding the Fourth Proportional to 233,371.35, 350,075.43 and 114,978.15

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Solution

The fourth proportional to 233,371.35, 350,075.43 and 114,978.15 is: 172,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,371.35 : 350,075.43 = 114,978.15 : x
  2. Step 2: Convert to fraction form
    233,371.35/350,075.43 = 114,978.15/x
  3. Step 3: Cross multiply
    233,371.35x = 350,075.43 × 114,978.15
  4. Step 4: Simplify right side
    233,371.35x = 40,251,025,301.85
  5. Step 5: Solve for x
    x = 40,251,025,301.85/233,371.35
  6. Step 6: Final answer
    x = 172,476.29

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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.