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Finding the Fourth Proportional to 233,670, 322,464.60 and 127,686

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Solution

The fourth proportional to 233,670, 322,464.60 and 127,686 is: 176,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,670 : 322,464.60 = 127,686 : x
  2. Step 2: Convert to fraction form
    233,670/322,464.60 = 127,686/x
  3. Step 3: Cross multiply
    233,670x = 322,464.60 × 127,686
  4. Step 4: Simplify right side
    233,670x = 41,174,214,915.60
  5. Step 5: Solve for x
    x = 41,174,214,915.60/233,670
  6. Step 6: Final answer
    x = 176,206.68

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