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Finding the Fourth Proportional to 185,130.36, 277,708.50 and 91,611

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Solution

The fourth proportional to 185,130.36, 277,708.50 and 91,611 is: 137,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,130.36 : 277,708.50 = 91,611 : x
  2. Step 2: Convert to fraction form
    185,130.36/277,708.50 = 91,611/x
  3. Step 3: Cross multiply
    185,130.36x = 277,708.50 × 91,611
  4. Step 4: Simplify right side
    185,130.36x = 25,441,153,393.50
  5. Step 5: Solve for x
    x = 25,441,153,393.50/185,130.36
  6. Step 6: Final answer
    x = 137,422.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.