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Finding the Fourth Proportional to 210,094.92, 314,879.56 and 104,943.24

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Solution

The fourth proportional to 210,094.92, 314,879.56 and 104,943.24 is: 157,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,094.92 : 314,879.56 = 104,943.24 : x
  2. Step 2: Convert to fraction form
    210,094.92/314,879.56 = 104,943.24/x
  3. Step 3: Cross multiply
    210,094.92x = 314,879.56 × 104,943.24
  4. Step 4: Simplify right side
    210,094.92x = 33,044,481,236.17
  5. Step 5: Solve for x
    x = 33,044,481,236.17/210,094.92
  6. Step 6: Final answer
    x = 157,283.58

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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.