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Finding the Fourth Proportional to 178,847.40, 268,271.10 and 54,188.40

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Solution

The fourth proportional to 178,847.40, 268,271.10 and 54,188.40 is: 81,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,847.40 : 268,271.10 = 54,188.40 : x
  2. Step 2: Convert to fraction form
    178,847.40/268,271.10 = 54,188.40/x
  3. Step 3: Cross multiply
    178,847.40x = 268,271.10 × 54,188.40
  4. Step 4: Simplify right side
    178,847.40x = 14,537,181,675.24
  5. Step 5: Solve for x
    x = 14,537,181,675.24/178,847.40
  6. Step 6: Final answer
    x = 81,282.60

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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.