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Finding the Fourth Proportional to 180,292.32, 270,430.80 and 106,886.88

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Solution

The fourth proportional to 180,292.32, 270,430.80 and 106,886.88 is: 160,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,292.32 : 270,430.80 = 106,886.88 : x
  2. Step 2: Convert to fraction form
    180,292.32/270,430.80 = 106,886.88/x
  3. Step 3: Cross multiply
    180,292.32x = 270,430.80 × 106,886.88
  4. Step 4: Simplify right side
    180,292.32x = 28,905,504,467.90
  5. Step 5: Solve for x
    x = 28,905,504,467.90/180,292.32
  6. Step 6: Final answer
    x = 160,325.77

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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.