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Finding the Fourth Proportional to 146,811.66, 220,214.50 and 46,971.84

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Solution

The fourth proportional to 146,811.66, 220,214.50 and 46,971.84 is: 70,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,811.66 : 220,214.50 = 46,971.84 : x
  2. Step 2: Convert to fraction form
    146,811.66/220,214.50 = 46,971.84/x
  3. Step 3: Cross multiply
    146,811.66x = 220,214.50 × 46,971.84
  4. Step 4: Simplify right side
    146,811.66x = 10,343,880,259.68
  5. Step 5: Solve for x
    x = 10,343,880,259.68/146,811.66
  6. Step 6: Final answer
    x = 70,456.80

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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.