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Finding the Fourth Proportional to 185,157.84, 277,816.98 and 65,300.44

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Solution

The fourth proportional to 185,157.84, 277,816.98 and 65,300.44 is: 97,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,157.84 : 277,816.98 = 65,300.44 : x
  2. Step 2: Convert to fraction form
    185,157.84/277,816.98 = 65,300.44/x
  3. Step 3: Cross multiply
    185,157.84x = 277,816.98 × 65,300.44
  4. Step 4: Simplify right side
    185,157.84x = 18,141,571,033.47
  5. Step 5: Solve for x
    x = 18,141,571,033.47/185,157.84
  6. Step 6: Final answer
    x = 97,978.95

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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.