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Finding the Fourth Proportional to 299,102.22, 448,503.41 and 99,352.58

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Solution

The fourth proportional to 299,102.22, 448,503.41 and 99,352.58 is: 148,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,102.22 : 448,503.41 = 99,352.58 : x
  2. Step 2: Convert to fraction form
    299,102.22/448,503.41 = 99,352.58/x
  3. Step 3: Cross multiply
    299,102.22x = 448,503.41 × 99,352.58
  4. Step 4: Simplify right side
    299,102.22x = 44,559,968,928.16
  5. Step 5: Solve for x
    x = 44,559,968,928.16/299,102.22
  6. Step 6: Final answer
    x = 148,979.06

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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.