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Finding the Fourth Proportional to 228,052.44, 314,731.44 and 151,436.16

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Solution

The fourth proportional to 228,052.44, 314,731.44 and 151,436.16 is: 208,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,052.44 : 314,731.44 = 151,436.16 : x
  2. Step 2: Convert to fraction form
    228,052.44/314,731.44 = 151,436.16/x
  3. Step 3: Cross multiply
    228,052.44x = 314,731.44 × 151,436.16
  4. Step 4: Simplify right side
    228,052.44x = 47,661,720,704.87
  5. Step 5: Solve for x
    x = 47,661,720,704.87/228,052.44
  6. Step 6: Final answer
    x = 208,994.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.