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Finding the Fourth Proportional to 233,357.57, 350,054.78 and 114,964.33

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Solution

The fourth proportional to 233,357.57, 350,054.78 and 114,964.33 is: 172,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,357.57 : 350,054.78 = 114,964.33 : x
  2. Step 2: Convert to fraction form
    233,357.57/350,054.78 = 114,964.33/x
  3. Step 3: Cross multiply
    233,357.57x = 350,054.78 × 114,964.33
  4. Step 4: Simplify right side
    233,357.57x = 40,243,812,671.18
  5. Step 5: Solve for x
    x = 40,243,812,671.18/233,357.57
  6. Step 6: Final answer
    x = 172,455.57

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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.