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Finding the Fourth Proportional to 311,581.58, 467,185.40 and 142,890.60

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Solution

The fourth proportional to 311,581.58, 467,185.40 and 142,890.60 is: 214,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,581.58 : 467,185.40 = 142,890.60 : x
  2. Step 2: Convert to fraction form
    311,581.58/467,185.40 = 142,890.60/x
  3. Step 3: Cross multiply
    311,581.58x = 467,185.40 × 142,890.60
  4. Step 4: Simplify right side
    311,581.58x = 66,756,402,117.24
  5. Step 5: Solve for x
    x = 66,756,402,117.24/311,581.58
  6. Step 6: Final answer
    x = 214,250.16

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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.