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Finding the Fourth Proportional to 114,108.71, 157,416.99 and 73,835.46

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Solution

The fourth proportional to 114,108.71, 157,416.99 and 73,835.46 is: 101,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,108.71 : 157,416.99 = 73,835.46 : x
  2. Step 2: Convert to fraction form
    114,108.71/157,416.99 = 73,835.46/x
  3. Step 3: Cross multiply
    114,108.71x = 157,416.99 × 73,835.46
  4. Step 4: Simplify right side
    114,108.71x = 11,622,955,868.47
  5. Step 5: Solve for x
    x = 11,622,955,868.47/114,108.71
  6. Step 6: Final answer
    x = 101,858.62

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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.