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Finding the Fourth Proportional to 180,665.64, 270,497.88 and 136,157.76

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Solution

The fourth proportional to 180,665.64, 270,497.88 and 136,157.76 is: 203,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,665.64 : 270,497.88 = 136,157.76 : x
  2. Step 2: Convert to fraction form
    180,665.64/270,497.88 = 136,157.76/x
  3. Step 3: Cross multiply
    180,665.64x = 270,497.88 × 136,157.76
  4. Step 4: Simplify right side
    180,665.64x = 36,830,385,425.55
  5. Step 5: Solve for x
    x = 36,830,385,425.55/180,665.64
  6. Step 6: Final answer
    x = 203,859.38

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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.