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Finding the Fourth Proportional to 199,594.52, 275,433.54 and 118,980.50

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Solution

The fourth proportional to 199,594.52, 275,433.54 and 118,980.50 is: 164,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,594.52 : 275,433.54 = 118,980.50 : x
  2. Step 2: Convert to fraction form
    199,594.52/275,433.54 = 118,980.50/x
  3. Step 3: Cross multiply
    199,594.52x = 275,433.54 × 118,980.50
  4. Step 4: Simplify right side
    199,594.52x = 32,771,220,305.97
  5. Step 5: Solve for x
    x = 32,771,220,305.97/199,594.52
  6. Step 6: Final answer
    x = 164,188.98

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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.