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Finding the Fourth Proportional to 161,537.44, 242,409.84 and 78,386.08

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Solution

The fourth proportional to 161,537.44, 242,409.84 and 78,386.08 is: 117,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,537.44 : 242,409.84 = 78,386.08 : x
  2. Step 2: Convert to fraction form
    161,537.44/242,409.84 = 78,386.08/x
  3. Step 3: Cross multiply
    161,537.44x = 242,409.84 × 78,386.08
  4. Step 4: Simplify right side
    161,537.44x = 19,001,557,111.03
  5. Step 5: Solve for x
    x = 19,001,557,111.03/161,537.44
  6. Step 6: Final answer
    x = 117,629.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.