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Finding the Fourth Proportional to 233,412.71, 349,993.76 and 73,458.71

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Solution

The fourth proportional to 233,412.71, 349,993.76 and 73,458.71 is: 110,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,412.71 : 349,993.76 = 73,458.71 : x
  2. Step 2: Convert to fraction form
    233,412.71/349,993.76 = 73,458.71/x
  3. Step 3: Cross multiply
    233,412.71x = 349,993.76 × 73,458.71
  4. Step 4: Simplify right side
    233,412.71x = 25,710,091,694.78
  5. Step 5: Solve for x
    x = 25,710,091,694.78/233,412.71
  6. Step 6: Final answer
    x = 110,148.64

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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.