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Finding the Fourth Proportional to 193,779.20, 290,492.96 and 172,784

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Solution

The fourth proportional to 193,779.20, 290,492.96 and 172,784 is: 259,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,779.20 : 290,492.96 = 172,784 : x
  2. Step 2: Convert to fraction form
    193,779.20/290,492.96 = 172,784/x
  3. Step 3: Cross multiply
    193,779.20x = 290,492.96 × 172,784
  4. Step 4: Simplify right side
    193,779.20x = 50,192,535,600.64
  5. Step 5: Solve for x
    x = 50,192,535,600.64/193,779.20
  6. Step 6: Final answer
    x = 259,019.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.