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Finding the Fourth Proportional to 199,291.42, 274,866.60 and 127,678.06

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Solution

The fourth proportional to 199,291.42, 274,866.60 and 127,678.06 is: 176,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291.42 : 274,866.60 = 127,678.06 : x
  2. Step 2: Convert to fraction form
    199,291.42/274,866.60 = 127,678.06/x
  3. Step 3: Cross multiply
    199,291.42x = 274,866.60 × 127,678.06
  4. Step 4: Simplify right side
    199,291.42x = 35,094,434,246.80
  5. Step 5: Solve for x
    x = 35,094,434,246.80/199,291.42
  6. Step 6: Final answer
    x = 176,096.06

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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.