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Finding the Fourth Proportional to 266,696, 368,040.48 and 147,464

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Solution

The fourth proportional to 266,696, 368,040.48 and 147,464 is: 203,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,696 : 368,040.48 = 147,464 : x
  2. Step 2: Convert to fraction form
    266,696/368,040.48 = 147,464/x
  3. Step 3: Cross multiply
    266,696x = 368,040.48 × 147,464
  4. Step 4: Simplify right side
    266,696x = 54,272,721,342.72
  5. Step 5: Solve for x
    x = 54,272,721,342.72/266,696
  6. Step 6: Final answer
    x = 203,500.32

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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.