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Finding the Fourth Proportional to 299,077.29, 448,484.70 and 111,957.57

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Solution

The fourth proportional to 299,077.29, 448,484.70 and 111,957.57 is: 167,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,077.29 : 448,484.70 = 111,957.57 : x
  2. Step 2: Convert to fraction form
    299,077.29/448,484.70 = 111,957.57/x
  3. Step 3: Cross multiply
    299,077.29x = 448,484.70 × 111,957.57
  4. Step 4: Simplify right side
    299,077.29x = 50,211,257,194.18
  5. Step 5: Solve for x
    x = 50,211,257,194.18/299,077.29
  6. Step 6: Final answer
    x = 167,887.23

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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.