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Finding the Fourth Proportional to 233,962.56, 350,973 and 76,148.64

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Solution

The fourth proportional to 233,962.56, 350,973 and 76,148.64 is: 114,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,962.56 : 350,973 = 76,148.64 : x
  2. Step 2: Convert to fraction form
    233,962.56/350,973 = 76,148.64/x
  3. Step 3: Cross multiply
    233,962.56x = 350,973 × 76,148.64
  4. Step 4: Simplify right side
    233,962.56x = 26,726,116,626.72
  5. Step 5: Solve for x
    x = 26,726,116,626.72/233,962.56
  6. Step 6: Final answer
    x = 114,232.45

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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.