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Finding the Fourth Proportional to 266,969.28, 368,412.69 and 146,108.16

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Solution

The fourth proportional to 266,969.28, 368,412.69 and 146,108.16 is: 201,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,969.28 : 368,412.69 = 146,108.16 : x
  2. Step 2: Convert to fraction form
    266,969.28/368,412.69 = 146,108.16/x
  3. Step 3: Cross multiply
    266,969.28x = 368,412.69 × 146,108.16
  4. Step 4: Simplify right side
    266,969.28x = 53,828,100,256.55
  5. Step 5: Solve for x
    x = 53,828,100,256.55/266,969.28
  6. Step 6: Final answer
    x = 201,626.57

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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.