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Finding the Fourth Proportional to 263,788.23, 364,026.50 and 142,929.50

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Solution

The fourth proportional to 263,788.23, 364,026.50 and 142,929.50 is: 197,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,788.23 : 364,026.50 = 142,929.50 : x
  2. Step 2: Convert to fraction form
    263,788.23/364,026.50 = 142,929.50/x
  3. Step 3: Cross multiply
    263,788.23x = 364,026.50 × 142,929.50
  4. Step 4: Simplify right side
    263,788.23x = 52,030,123,096.97
  5. Step 5: Solve for x
    x = 52,030,123,096.97/263,788.23
  6. Step 6: Final answer
    x = 197,242.02

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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.