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Finding the Fourth Proportional to 299,137.66, 448,332.30 and 149,419.74

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Solution

The fourth proportional to 299,137.66, 448,332.30 and 149,419.74 is: 223,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,137.66 : 448,332.30 = 149,419.74 : x
  2. Step 2: Convert to fraction form
    299,137.66/448,332.30 = 149,419.74/x
  3. Step 3: Cross multiply
    299,137.66x = 448,332.30 × 149,419.74
  4. Step 4: Simplify right side
    299,137.66x = 66,989,695,699.60
  5. Step 5: Solve for x
    x = 66,989,695,699.60/299,137.66
  6. Step 6: Final answer
    x = 223,942.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.