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Finding the Fourth Proportional to 182,681.87, 274,271.30 and 102,776.07

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Solution

The fourth proportional to 182,681.87, 274,271.30 and 102,776.07 is: 154,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,681.87 : 274,271.30 = 102,776.07 : x
  2. Step 2: Convert to fraction form
    182,681.87/274,271.30 = 102,776.07/x
  3. Step 3: Cross multiply
    182,681.87x = 274,271.30 × 102,776.07
  4. Step 4: Simplify right side
    182,681.87x = 28,188,525,813.91
  5. Step 5: Solve for x
    x = 28,188,525,813.91/182,681.87
  6. Step 6: Final answer
    x = 154,303.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.