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Finding the Fourth Proportional to 299,072.80, 448,477.94 and 111,953.08

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Solution

The fourth proportional to 299,072.80, 448,477.94 and 111,953.08 is: 167,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,072.80 : 448,477.94 = 111,953.08 : x
  2. Step 2: Convert to fraction form
    299,072.80/448,477.94 = 111,953.08/x
  3. Step 3: Cross multiply
    299,072.80x = 448,477.94 × 111,953.08
  4. Step 4: Simplify right side
    299,072.80x = 50,208,486,695.06
  5. Step 5: Solve for x
    x = 50,208,486,695.06/299,072.80
  6. Step 6: Final answer
    x = 167,880.48

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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.