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Finding the Fourth Proportional to 227,794.32, 314,368.42 and 130,997.02

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Solution

The fourth proportional to 227,794.32, 314,368.42 and 130,997.02 is: 180,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,794.32 : 314,368.42 = 130,997.02 : x
  2. Step 2: Convert to fraction form
    227,794.32/314,368.42 = 130,997.02/x
  3. Step 3: Cross multiply
    227,794.32x = 314,368.42 × 130,997.02
  4. Step 4: Simplify right side
    227,794.32x = 41,181,326,202.11
  5. Step 5: Solve for x
    x = 41,181,326,202.11/227,794.32
  6. Step 6: Final answer
    x = 180,782.94

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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.