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Finding the Fourth Proportional to 299,106.92, 448,492.16 and 99,320.39

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Solution

The fourth proportional to 299,106.92, 448,492.16 and 99,320.39 is: 148,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,106.92 : 448,492.16 = 99,320.39 : x
  2. Step 2: Convert to fraction form
    299,106.92/448,492.16 = 99,320.39/x
  3. Step 3: Cross multiply
    299,106.92x = 448,492.16 × 99,320.39
  4. Step 4: Simplify right side
    299,106.92x = 44,544,415,746.54
  5. Step 5: Solve for x
    x = 44,544,415,746.54/299,106.92
  6. Step 6: Final answer
    x = 148,924.72

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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.