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Finding the Fourth Proportional to 299,271.96, 448,981.14 and 99,591.96

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Solution

The fourth proportional to 299,271.96, 448,981.14 and 99,591.96 is: 149,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,271.96 : 448,981.14 = 99,591.96 : x
  2. Step 2: Convert to fraction form
    299,271.96/448,981.14 = 99,591.96/x
  3. Step 3: Cross multiply
    299,271.96x = 448,981.14 × 99,591.96
  4. Step 4: Simplify right side
    299,271.96x = 44,714,911,735.63
  5. Step 5: Solve for x
    x = 44,714,911,735.63/299,271.96
  6. Step 6: Final answer
    x = 149,412.30

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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.