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Finding the Fourth Proportional to 114,102.56, 157,467.06 and 63,115.07

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Solution

The fourth proportional to 114,102.56, 157,467.06 and 63,115.07 is: 87,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,102.56 : 157,467.06 = 63,115.07 : x
  2. Step 2: Convert to fraction form
    114,102.56/157,467.06 = 63,115.07/x
  3. Step 3: Cross multiply
    114,102.56x = 157,467.06 × 63,115.07
  4. Step 4: Simplify right side
    114,102.56x = 9,938,544,514.59
  5. Step 5: Solve for x
    x = 9,938,544,514.59/114,102.56
  6. Step 6: Final answer
    x = 87,101.85

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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.