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Finding the Fourth Proportional to 299,698.25, 449,547.35 and 122,219.06

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Solution

The fourth proportional to 299,698.25, 449,547.35 and 122,219.06 is: 183,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,698.25 : 449,547.35 = 122,219.06 : x
  2. Step 2: Convert to fraction form
    299,698.25/449,547.35 = 122,219.06/x
  3. Step 3: Cross multiply
    299,698.25x = 449,547.35 × 122,219.06
  4. Step 4: Simplify right side
    299,698.25x = 54,943,251,683.66
  5. Step 5: Solve for x
    x = 54,943,251,683.66/299,698.25
  6. Step 6: Final answer
    x = 183,328.57

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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.