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Finding the Fourth Proportional to 102,512.40, 153,768.60 and 47,108.40

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Solution

The fourth proportional to 102,512.40, 153,768.60 and 47,108.40 is: 70,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,512.40 : 153,768.60 = 47,108.40 : x
  2. Step 2: Convert to fraction form
    102,512.40/153,768.60 = 47,108.40/x
  3. Step 3: Cross multiply
    102,512.40x = 153,768.60 × 47,108.40
  4. Step 4: Simplify right side
    102,512.40x = 7,243,792,716.24
  5. Step 5: Solve for x
    x = 7,243,792,716.24/102,512.40
  6. Step 6: Final answer
    x = 70,662.60

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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.