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Finding the Fourth Proportional to 213,125.30, 320,465.55 and 178,910.90

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Solution

The fourth proportional to 213,125.30, 320,465.55 and 178,910.90 is: 269,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,125.30 : 320,465.55 = 178,910.90 : x
  2. Step 2: Convert to fraction form
    213,125.30/320,465.55 = 178,910.90/x
  3. Step 3: Cross multiply
    213,125.30x = 320,465.55 × 178,910.90
  4. Step 4: Simplify right side
    213,125.30x = 57,334,779,969.50
  5. Step 5: Solve for x
    x = 57,334,779,969.50/213,125.30
  6. Step 6: Final answer
    x = 269,019.12

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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.