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Finding the Fourth Proportional to 165,655.50, 248,522.40 and 54,847.50

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Solution

The fourth proportional to 165,655.50, 248,522.40 and 54,847.50 is: 82,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655.50 : 248,522.40 = 54,847.50 : x
  2. Step 2: Convert to fraction form
    165,655.50/248,522.40 = 54,847.50/x
  3. Step 3: Cross multiply
    165,655.50x = 248,522.40 × 54,847.50
  4. Step 4: Simplify right side
    165,655.50x = 13,630,832,334
  5. Step 5: Solve for x
    x = 13,630,832,334/165,655.50
  6. Step 6: Final answer
    x = 82,284.21

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1.5x scale

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.