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Finding the Fourth Proportional to 180,653.96, 270,994.96 and 54,284.34

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Solution

The fourth proportional to 180,653.96, 270,994.96 and 54,284.34 is: 81,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,653.96 : 270,994.96 = 54,284.34 : x
  2. Step 2: Convert to fraction form
    180,653.96/270,994.96 = 54,284.34/x
  3. Step 3: Cross multiply
    180,653.96x = 270,994.96 × 54,284.34
  4. Step 4: Simplify right side
    180,653.96x = 14,710,782,546.93
  5. Step 5: Solve for x
    x = 14,710,782,546.93/180,653.96
  6. Step 6: Final answer
    x = 81,430.72

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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.