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Finding the Fourth Proportional to 114,002.16, 170,994.60 and 40,078.32

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Solution

The fourth proportional to 114,002.16, 170,994.60 and 40,078.32 is: 60,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,002.16 : 170,994.60 = 40,078.32 : x
  2. Step 2: Convert to fraction form
    114,002.16/170,994.60 = 40,078.32/x
  3. Step 3: Cross multiply
    114,002.16x = 170,994.60 × 40,078.32
  4. Step 4: Simplify right side
    114,002.16x = 6,853,176,297.07
  5. Step 5: Solve for x
    x = 6,853,176,297.07/114,002.16
  6. Step 6: Final answer
    x = 60,114.44

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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.