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Finding the Fourth Proportional to 299,095.16, 448,691.36 and 99,381.56

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Solution

The fourth proportional to 299,095.16, 448,691.36 and 99,381.56 is: 149,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,095.16 : 448,691.36 = 99,381.56 : x
  2. Step 2: Convert to fraction form
    299,095.16/448,691.36 = 99,381.56/x
  3. Step 3: Cross multiply
    299,095.16x = 448,691.36 × 99,381.56
  4. Step 4: Simplify right side
    299,095.16x = 44,591,647,315.32
  5. Step 5: Solve for x
    x = 44,591,647,315.32/299,095.16
  6. Step 6: Final answer
    x = 149,088.50

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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.