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Finding the Fourth Proportional to 299,149.47, 448,983.05 and 157,094.70

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Solution

The fourth proportional to 299,149.47, 448,983.05 and 157,094.70 is: 235,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149.47 : 448,983.05 = 157,094.70 : x
  2. Step 2: Convert to fraction form
    299,149.47/448,983.05 = 157,094.70/x
  3. Step 3: Cross multiply
    299,149.47x = 448,983.05 × 157,094.70
  4. Step 4: Simplify right side
    299,149.47x = 70,532,857,544.84
  5. Step 5: Solve for x
    x = 70,532,857,544.84/299,149.47
  6. Step 6: Final answer
    x = 235,777.98

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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.