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Finding the Fourth Proportional to 231,367.12, 319,320.88 and 146,492.08

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Solution

The fourth proportional to 231,367.12, 319,320.88 and 146,492.08 is: 202,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,367.12 : 319,320.88 = 146,492.08 : x
  2. Step 2: Convert to fraction form
    231,367.12/319,320.88 = 146,492.08/x
  3. Step 3: Cross multiply
    231,367.12x = 319,320.88 × 146,492.08
  4. Step 4: Simplify right side
    231,367.12x = 46,777,979,898.63
  5. Step 5: Solve for x
    x = 46,777,979,898.63/231,367.12
  6. Step 6: Final answer
    x = 202,180.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.