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Finding the Fourth Proportional to 153,782.65, 230,563.25 and 94,495.83

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Solution

The fourth proportional to 153,782.65, 230,563.25 and 94,495.83 is: 141,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,782.65 : 230,563.25 = 94,495.83 : x
  2. Step 2: Convert to fraction form
    153,782.65/230,563.25 = 94,495.83/x
  3. Step 3: Cross multiply
    153,782.65x = 230,563.25 × 94,495.83
  4. Step 4: Simplify right side
    153,782.65x = 21,787,265,676.25
  5. Step 5: Solve for x
    x = 21,787,265,676.25/153,782.65
  6. Step 6: Final answer
    x = 141,675.71

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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.