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Finding the Fourth Proportional to 114,093.80, 157,454.99 and 63,106.32

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Solution

The fourth proportional to 114,093.80, 157,454.99 and 63,106.32 is: 87,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,093.80 : 157,454.99 = 63,106.32 : x
  2. Step 2: Convert to fraction form
    114,093.80/157,454.99 = 63,106.32/x
  3. Step 3: Cross multiply
    114,093.80x = 157,454.99 × 63,106.32
  4. Step 4: Simplify right side
    114,093.80x = 9,936,404,669.01
  5. Step 5: Solve for x
    x = 9,936,404,669.01/114,093.80
  6. Step 6: Final answer
    x = 87,089.79

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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.