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Finding the Fourth Proportional to 251,533.56, 347,109 and 138,356.28

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Solution

The fourth proportional to 251,533.56, 347,109 and 138,356.28 is: 190,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,533.56 : 347,109 = 138,356.28 : x
  2. Step 2: Convert to fraction form
    251,533.56/347,109 = 138,356.28/x
  3. Step 3: Cross multiply
    251,533.56x = 347,109 × 138,356.28
  4. Step 4: Simplify right side
    251,533.56x = 48,024,709,994.52
  5. Step 5: Solve for x
    x = 48,024,709,994.52/251,533.56
  6. Step 6: Final answer
    x = 190,927.64

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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.