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Finding the Fourth Proportional to 98,077, 135,346.26 and 53,365

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Solution

The fourth proportional to 98,077, 135,346.26 and 53,365 is: 73,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,077 : 135,346.26 = 53,365 : x
  2. Step 2: Convert to fraction form
    98,077/135,346.26 = 53,365/x
  3. Step 3: Cross multiply
    98,077x = 135,346.26 × 53,365
  4. Step 4: Simplify right side
    98,077x = 7,222,753,164.90
  5. Step 5: Solve for x
    x = 7,222,753,164.90/98,077
  6. Step 6: Final answer
    x = 73,643.70

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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.