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Finding the Fourth Proportional to 114,115.33, 157,426.14 and 73,842.08

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Solution

The fourth proportional to 114,115.33, 157,426.14 and 73,842.08 is: 101,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115.33 : 157,426.14 = 73,842.08 : x
  2. Step 2: Convert to fraction form
    114,115.33/157,426.14 = 73,842.08/x
  3. Step 3: Cross multiply
    114,115.33x = 157,426.14 × 73,842.08
  4. Step 4: Simplify right side
    114,115.33x = 11,624,673,623.97
  5. Step 5: Solve for x
    x = 11,624,673,623.97/114,115.33
  6. Step 6: Final answer
    x = 101,867.77

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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.