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Finding the Fourth Proportional to 299,092.84, 448,621.66 and 112,088.68

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Solution

The fourth proportional to 299,092.84, 448,621.66 and 112,088.68 is: 168,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092.84 : 448,621.66 = 112,088.68 : x
  2. Step 2: Convert to fraction form
    299,092.84/448,621.66 = 112,088.68/x
  3. Step 3: Cross multiply
    299,092.84x = 448,621.66 × 112,088.68
  4. Step 4: Simplify right side
    299,092.84x = 50,285,409,688.81
  5. Step 5: Solve for x
    x = 50,285,409,688.81/299,092.84
  6. Step 6: Final answer
    x = 168,126.42

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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.