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Finding the Fourth Proportional to 299,140.85, 448,715.18 and 99,461.23

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Solution

The fourth proportional to 299,140.85, 448,715.18 and 99,461.23 is: 149,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140.85 : 448,715.18 = 99,461.23 : x
  2. Step 2: Convert to fraction form
    299,140.85/448,715.18 = 99,461.23/x
  3. Step 3: Cross multiply
    299,140.85x = 448,715.18 × 99,461.23
  4. Step 4: Simplify right side
    299,140.85x = 44,629,763,225.17
  5. Step 5: Solve for x
    x = 44,629,763,225.17/299,140.85
  6. Step 6: Final answer
    x = 149,193.14

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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.