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Finding the Fourth Proportional to 114,104.73, 157,411.50 and 73,831.49

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Solution

The fourth proportional to 114,104.73, 157,411.50 and 73,831.49 is: 101,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,104.73 : 157,411.50 = 73,831.49 : x
  2. Step 2: Convert to fraction form
    114,104.73/157,411.50 = 73,831.49/x
  3. Step 3: Cross multiply
    114,104.73x = 157,411.50 × 73,831.49
  4. Step 4: Simplify right side
    114,104.73x = 11,621,924,801.08
  5. Step 5: Solve for x
    x = 11,621,924,801.08/114,104.73
  6. Step 6: Final answer
    x = 101,853.14

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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.