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Finding the Fourth Proportional to 213,713.16, 320,598.90 and 89,025

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Solution

The fourth proportional to 213,713.16, 320,598.90 and 89,025 is: 133,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,713.16 : 320,598.90 = 89,025 : x
  2. Step 2: Convert to fraction form
    213,713.16/320,598.90 = 89,025/x
  3. Step 3: Cross multiply
    213,713.16x = 320,598.90 × 89,025
  4. Step 4: Simplify right side
    213,713.16x = 28,541,317,072.50
  5. Step 5: Solve for x
    x = 28,541,317,072.50/213,713.16
  6. Step 6: Final answer
    x = 133,549.65

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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.