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Finding the Fourth Proportional to 299,111.97, 448,752.74 and 121,746.27

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Solution

The fourth proportional to 299,111.97, 448,752.74 and 121,746.27 is: 182,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,111.97 : 448,752.74 = 121,746.27 : x
  2. Step 2: Convert to fraction form
    299,111.97/448,752.74 = 121,746.27/x
  3. Step 3: Cross multiply
    299,111.97x = 448,752.74 × 121,746.27
  4. Step 4: Simplify right side
    299,111.97x = 54,633,971,638.55
  5. Step 5: Solve for x
    x = 54,633,971,638.55/299,111.97
  6. Step 6: Final answer
    x = 182,653.91

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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.