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Finding the Fourth Proportional to 195,624.94, 269,963.54 and 115,055.86

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Solution

The fourth proportional to 195,624.94, 269,963.54 and 115,055.86 is: 158,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,624.94 : 269,963.54 = 115,055.86 : x
  2. Step 2: Convert to fraction form
    195,624.94/269,963.54 = 115,055.86/x
  3. Step 3: Cross multiply
    195,624.94x = 269,963.54 × 115,055.86
  4. Step 4: Simplify right side
    195,624.94x = 31,060,887,263.34
  5. Step 5: Solve for x
    x = 31,060,887,263.34/195,624.94
  6. Step 6: Final answer
    x = 158,777.75

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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.