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Finding the Fourth Proportional to 231,700.08, 319,828.44 and 141,014.64

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Solution

The fourth proportional to 231,700.08, 319,828.44 and 141,014.64 is: 194,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,700.08 : 319,828.44 = 141,014.64 : x
  2. Step 2: Convert to fraction form
    231,700.08/319,828.44 = 141,014.64/x
  3. Step 3: Cross multiply
    231,700.08x = 319,828.44 × 141,014.64
  4. Step 4: Simplify right side
    231,700.08x = 45,100,492,328.36
  5. Step 5: Solve for x
    x = 45,100,492,328.36/231,700.08
  6. Step 6: Final answer
    x = 194,650.31

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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.