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Finding the Fourth Proportional to 200,725.68, 301,088.64 and 50,977.20

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Solution

The fourth proportional to 200,725.68, 301,088.64 and 50,977.20 is: 76,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.68 : 301,088.64 = 50,977.20 : x
  2. Step 2: Convert to fraction form
    200,725.68/301,088.64 = 50,977.20/x
  3. Step 3: Cross multiply
    200,725.68x = 301,088.64 × 50,977.20
  4. Step 4: Simplify right side
    200,725.68x = 15,348,655,819.01
  5. Step 5: Solve for x
    x = 15,348,655,819.01/200,725.68
  6. Step 6: Final answer
    x = 76,465.83

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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.