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Finding the Fourth Proportional to 371,048.02, 512,047.25 and 201,282.14

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Solution

The fourth proportional to 371,048.02, 512,047.25 and 201,282.14 is: 277,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,048.02 : 512,047.25 = 201,282.14 : x
  2. Step 2: Convert to fraction form
    371,048.02/512,047.25 = 201,282.14/x
  3. Step 3: Cross multiply
    371,048.02x = 512,047.25 × 201,282.14
  4. Step 4: Simplify right side
    371,048.02x = 103,065,967,289.63
  5. Step 5: Solve for x
    x = 103,065,967,289.63/371,048.02
  6. Step 6: Final answer
    x = 277,769.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.