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Finding the Fourth Proportional to 299,151.19, 448,730.72 and 99,471.59

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Solution

The fourth proportional to 299,151.19, 448,730.72 and 99,471.59 is: 149,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,151.19 : 448,730.72 = 99,471.59 : x
  2. Step 2: Convert to fraction form
    299,151.19/448,730.72 = 99,471.59/x
  3. Step 3: Cross multiply
    299,151.19x = 448,730.72 × 99,471.59
  4. Step 4: Simplify right side
    299,151.19x = 44,635,960,039.10
  5. Step 5: Solve for x
    x = 44,635,960,039.10/299,151.19
  6. Step 6: Final answer
    x = 149,208.70

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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.