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Finding the Fourth Proportional to 296,525.64, 444,721.75 and 136,448.02

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Solution

The fourth proportional to 296,525.64, 444,721.75 and 136,448.02 is: 204,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,525.64 : 444,721.75 = 136,448.02 : x
  2. Step 2: Convert to fraction form
    296,525.64/444,721.75 = 136,448.02/x
  3. Step 3: Cross multiply
    296,525.64x = 444,721.75 × 136,448.02
  4. Step 4: Simplify right side
    296,525.64x = 60,681,402,238.44
  5. Step 5: Solve for x
    x = 60,681,402,238.44/296,525.64
  6. Step 6: Final answer
    x = 204,641.33

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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.