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Finding the Fourth Proportional to 114,085.76, 157,385.97 and 73,812.49

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Solution

The fourth proportional to 114,085.76, 157,385.97 and 73,812.49 is: 101,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,085.76 : 157,385.97 = 73,812.49 : x
  2. Step 2: Convert to fraction form
    114,085.76/157,385.97 = 73,812.49/x
  3. Step 3: Cross multiply
    114,085.76x = 157,385.97 × 73,812.49
  4. Step 4: Simplify right side
    114,085.76x = 11,617,049,943.30
  5. Step 5: Solve for x
    x = 11,617,049,943.30/114,085.76
  6. Step 6: Final answer
    x = 101,827.35

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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.