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Finding the Fourth Proportional to 175,406.40, 263,112 and 57,078.36

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Solution

The fourth proportional to 175,406.40, 263,112 and 57,078.36 is: 85,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,406.40 : 263,112 = 57,078.36 : x
  2. Step 2: Convert to fraction form
    175,406.40/263,112 = 57,078.36/x
  3. Step 3: Cross multiply
    175,406.40x = 263,112 × 57,078.36
  4. Step 4: Simplify right side
    175,406.40x = 15,018,001,456.32
  5. Step 5: Solve for x
    x = 15,018,001,456.32/175,406.40
  6. Step 6: Final answer
    x = 85,618.32

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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.