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Finding the Fourth Proportional to 233,154.25, 349,744.13 and 75,395.00

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Solution

The fourth proportional to 233,154.25, 349,744.13 and 75,395.00 is: 113,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,154.25 : 349,744.13 = 75,395.00 : x
  2. Step 2: Convert to fraction form
    233,154.25/349,744.13 = 75,395.00/x
  3. Step 3: Cross multiply
    233,154.25x = 349,744.13 × 75,395.00
  4. Step 4: Simplify right side
    233,154.25x = 26,368,959,461.47
  5. Step 5: Solve for x
    x = 26,368,959,461.47/233,154.25
  6. Step 6: Final answer
    x = 113,096.63

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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.