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Finding the Fourth Proportional to 266,784.66, 368,057.57 and 164,632.11

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Solution

The fourth proportional to 266,784.66, 368,057.57 and 164,632.11 is: 227,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,784.66 : 368,057.57 = 164,632.11 : x
  2. Step 2: Convert to fraction form
    266,784.66/368,057.57 = 164,632.11/x
  3. Step 3: Cross multiply
    266,784.66x = 368,057.57 × 164,632.11
  4. Step 4: Simplify right side
    266,784.66x = 60,594,093,527.41
  5. Step 5: Solve for x
    x = 60,594,093,527.41/266,784.66
  6. Step 6: Final answer
    x = 227,127.35

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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.