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Finding the Fourth Proportional to 99,851.48, 149,703.24 and 47,199.44

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Solution

The fourth proportional to 99,851.48, 149,703.24 and 47,199.44 is: 70,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,851.48 : 149,703.24 = 47,199.44 : x
  2. Step 2: Convert to fraction form
    99,851.48/149,703.24 = 47,199.44/x
  3. Step 3: Cross multiply
    99,851.48x = 149,703.24 × 47,199.44
  4. Step 4: Simplify right side
    99,851.48x = 7,065,909,094.19
  5. Step 5: Solve for x
    x = 7,065,909,094.19/99,851.48
  6. Step 6: Final answer
    x = 70,764.19

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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.