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Finding the Fourth Proportional to 114,107.74, 157,415.63 and 73,834.49

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Solution

The fourth proportional to 114,107.74, 157,415.63 and 73,834.49 is: 101,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,107.74 : 157,415.63 = 73,834.49 : x
  2. Step 2: Convert to fraction form
    114,107.74/157,415.63 = 73,834.49/x
  3. Step 3: Cross multiply
    114,107.74x = 157,415.63 × 73,834.49
  4. Step 4: Simplify right side
    114,107.74x = 11,622,702,783.45
  5. Step 5: Solve for x
    x = 11,622,702,783.45/114,107.74
  6. Step 6: Final answer
    x = 101,857.27

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1.5x scale

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.