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Finding the Fourth Proportional to 233,148.48, 349,458.12 and 205,014.12

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Solution

The fourth proportional to 233,148.48, 349,458.12 and 205,014.12 is: 307,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,148.48 : 349,458.12 = 205,014.12 : x
  2. Step 2: Convert to fraction form
    233,148.48/349,458.12 = 205,014.12/x
  3. Step 3: Cross multiply
    233,148.48x = 349,458.12 × 205,014.12
  4. Step 4: Simplify right side
    233,148.48x = 71,643,848,948.65
  5. Step 5: Solve for x
    x = 71,643,848,948.65/233,148.48
  6. Step 6: Final answer
    x = 307,288.51

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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.