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Finding the Fourth Proportional to 114,198.38, 157,592.95 and 65,782.65

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Solution

The fourth proportional to 114,198.38, 157,592.95 and 65,782.65 is: 90,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,198.38 : 157,592.95 = 65,782.65 : x
  2. Step 2: Convert to fraction form
    114,198.38/157,592.95 = 65,782.65/x
  3. Step 3: Cross multiply
    114,198.38x = 157,592.95 × 65,782.65
  4. Step 4: Simplify right side
    114,198.38x = 10,366,881,872.32
  5. Step 5: Solve for x
    x = 10,366,881,872.32/114,198.38
  6. Step 6: Final answer
    x = 90,779.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.