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Finding the Fourth Proportional to 154,461.50, 231,647.49 and 46,386.50

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Solution

The fourth proportional to 154,461.50, 231,647.49 and 46,386.50 is: 69,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461.50 : 231,647.49 = 46,386.50 : x
  2. Step 2: Convert to fraction form
    154,461.50/231,647.49 = 46,386.50/x
  3. Step 3: Cross multiply
    154,461.50x = 231,647.49 × 46,386.50
  4. Step 4: Simplify right side
    154,461.50x = 10,745,315,136.65
  5. Step 5: Solve for x
    x = 10,745,315,136.65/154,461.50
  6. Step 6: Final answer
    x = 69,566.30

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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.