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Finding the Fourth Proportional to 111,398, 153,736.53 and 61,097

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Solution

The fourth proportional to 111,398, 153,736.53 and 61,097 is: 84,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,398 : 153,736.53 = 61,097 : x
  2. Step 2: Convert to fraction form
    111,398/153,736.53 = 61,097/x
  3. Step 3: Cross multiply
    111,398x = 153,736.53 × 61,097
  4. Step 4: Simplify right side
    111,398x = 9,392,840,773.41
  5. Step 5: Solve for x
    x = 9,392,840,773.41/111,398
  6. Step 6: Final answer
    x = 84,317.86

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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.