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Finding the Fourth Proportional to 180,412.29, 270,322.92 and 96,082.92

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Solution

The fourth proportional to 180,412.29, 270,322.92 and 96,082.92 is: 143,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412.29 : 270,322.92 = 96,082.92 : x
  2. Step 2: Convert to fraction form
    180,412.29/270,322.92 = 96,082.92/x
  3. Step 3: Cross multiply
    180,412.29x = 270,322.92 × 96,082.92
  4. Step 4: Simplify right side
    180,412.29x = 25,973,415,496.53
  5. Step 5: Solve for x
    x = 25,973,415,496.53/180,412.29
  6. Step 6: Final answer
    x = 143,967.00

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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.