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Finding the Fourth Proportional to 213,585.46, 320,220 and 129,325.81

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Solution

The fourth proportional to 213,585.46, 320,220 and 129,325.81 is: 193,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,585.46 : 320,220 = 129,325.81 : x
  2. Step 2: Convert to fraction form
    213,585.46/320,220 = 129,325.81/x
  3. Step 3: Cross multiply
    213,585.46x = 320,220 × 129,325.81
  4. Step 4: Simplify right side
    213,585.46x = 41,412,710,878.20
  5. Step 5: Solve for x
    x = 41,412,710,878.20/213,585.46
  6. Step 6: Final answer
    x = 193,892.93

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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.