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Finding the Fourth Proportional to 142,036.44, 196,010.07 and 78,374.22

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Solution

The fourth proportional to 142,036.44, 196,010.07 and 78,374.22 is: 108,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,036.44 : 196,010.07 = 78,374.22 : x
  2. Step 2: Convert to fraction form
    142,036.44/196,010.07 = 78,374.22/x
  3. Step 3: Cross multiply
    142,036.44x = 196,010.07 × 78,374.22
  4. Step 4: Simplify right side
    142,036.44x = 15,362,136,348.40
  5. Step 5: Solve for x
    x = 15,362,136,348.40/142,036.44
  6. Step 6: Final answer
    x = 108,156.30

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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.