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Finding the Fourth Proportional to 299,033.10, 448,401.95 and 109,350.47

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Solution

The fourth proportional to 299,033.10, 448,401.95 and 109,350.47 is: 163,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,033.10 : 448,401.95 = 109,350.47 : x
  2. Step 2: Convert to fraction form
    299,033.10/448,401.95 = 109,350.47/x
  3. Step 3: Cross multiply
    299,033.10x = 448,401.95 × 109,350.47
  4. Step 4: Simplify right side
    299,033.10x = 49,032,963,981.42
  5. Step 5: Solve for x
    x = 49,032,963,981.42/299,033.10
  6. Step 6: Final answer
    x = 163,971.70

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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.