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Finding the Fourth Proportional to 299,357.31, 449,035.93 and 109,746.01

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Solution

The fourth proportional to 299,357.31, 449,035.93 and 109,746.01 is: 164,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,357.31 : 449,035.93 = 109,746.01 : x
  2. Step 2: Convert to fraction form
    299,357.31/449,035.93 = 109,746.01/x
  3. Step 3: Cross multiply
    299,357.31x = 449,035.93 × 109,746.01
  4. Step 4: Simplify right side
    299,357.31x = 49,279,901,664.14
  5. Step 5: Solve for x
    x = 49,279,901,664.14/299,357.31
  6. Step 6: Final answer
    x = 164,619.00

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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.