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Finding the Fourth Proportional to 153,914.33, 230,894.58 and 54,056.93

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Solution

The fourth proportional to 153,914.33, 230,894.58 and 54,056.93 is: 81,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,914.33 : 230,894.58 = 54,056.93 : x
  2. Step 2: Convert to fraction form
    153,914.33/230,894.58 = 54,056.93/x
  3. Step 3: Cross multiply
    153,914.33x = 230,894.58 × 54,056.93
  4. Step 4: Simplify right side
    153,914.33x = 12,481,450,993.97
  5. Step 5: Solve for x
    x = 12,481,450,993.97/153,914.33
  6. Step 6: Final answer
    x = 81,093.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.