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Finding the Fourth Proportional to 200,094.74, 300,119.94 and 50,335

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Solution

The fourth proportional to 200,094.74, 300,119.94 and 50,335 is: 75,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,094.74 : 300,119.94 = 50,335 : x
  2. Step 2: Convert to fraction form
    200,094.74/300,119.94 = 50,335/x
  3. Step 3: Cross multiply
    200,094.74x = 300,119.94 × 50,335
  4. Step 4: Simplify right side
    200,094.74x = 15,106,537,179.90
  5. Step 5: Solve for x
    x = 15,106,537,179.90/200,094.74
  6. Step 6: Final answer
    x = 75,496.92

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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.