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Finding the Fourth Proportional to 201,096.98, 277,517.16 and 110,461.32

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Solution

The fourth proportional to 201,096.98, 277,517.16 and 110,461.32 is: 152,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096.98 : 277,517.16 = 110,461.32 : x
  2. Step 2: Convert to fraction form
    201,096.98/277,517.16 = 110,461.32/x
  3. Step 3: Cross multiply
    201,096.98x = 277,517.16 × 110,461.32
  4. Step 4: Simplify right side
    201,096.98x = 30,654,911,816.25
  5. Step 5: Solve for x
    x = 30,654,911,816.25/201,096.98
  6. Step 6: Final answer
    x = 152,438.45

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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.