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Finding the Fourth Proportional to 233,712, 350,393.04 and 75,846.24

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Solution

The fourth proportional to 233,712, 350,393.04 and 75,846.24 is: 113,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712 : 350,393.04 = 75,846.24 : x
  2. Step 2: Convert to fraction form
    233,712/350,393.04 = 75,846.24/x
  3. Step 3: Cross multiply
    233,712x = 350,393.04 × 75,846.24
  4. Step 4: Simplify right side
    233,712x = 26,575,994,606.17
  5. Step 5: Solve for x
    x = 26,575,994,606.17/233,712
  6. Step 6: Final answer
    x = 113,712.58

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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.