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Finding the Fourth Proportional to 180,123.28, 270,184.58 and 169,162.32

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Solution

The fourth proportional to 180,123.28, 270,184.58 and 169,162.32 is: 253,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.28 : 270,184.58 = 169,162.32 : x
  2. Step 2: Convert to fraction form
    180,123.28/270,184.58 = 169,162.32/x
  3. Step 3: Cross multiply
    180,123.28x = 270,184.58 × 169,162.32
  4. Step 4: Simplify right side
    180,123.28x = 45,705,051,182.76
  5. Step 5: Solve for x
    x = 45,705,051,182.76/180,123.28
  6. Step 6: Final answer
    x = 253,743.17

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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.