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Finding the Fourth Proportional to 146,817.66, 220,223.50 and 46,977.84

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Solution

The fourth proportional to 146,817.66, 220,223.50 and 46,977.84 is: 70,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,817.66 : 220,223.50 = 46,977.84 : x
  2. Step 2: Convert to fraction form
    146,817.66/220,223.50 = 46,977.84/x
  3. Step 3: Cross multiply
    146,817.66x = 220,223.50 × 46,977.84
  4. Step 4: Simplify right side
    146,817.66x = 10,345,624,347.24
  5. Step 5: Solve for x
    x = 10,345,624,347.24/146,817.66
  6. Step 6: Final answer
    x = 70,465.80

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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.