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Finding the Fourth Proportional to 180,394.29, 270,295.92 and 96,064.92

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Solution

The fourth proportional to 180,394.29, 270,295.92 and 96,064.92 is: 143,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,394.29 : 270,295.92 = 96,064.92 : x
  2. Step 2: Convert to fraction form
    180,394.29/270,295.92 = 96,064.92/x
  3. Step 3: Cross multiply
    180,394.29x = 270,295.92 × 96,064.92
  4. Step 4: Simplify right side
    180,394.29x = 25,965,955,931.13
  5. Step 5: Solve for x
    x = 25,965,955,931.13/180,394.29
  6. Step 6: Final answer
    x = 143,940.01

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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.