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Finding the Fourth Proportional to 180,323.21, 248,801.32 and 116,584.31

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Solution

The fourth proportional to 180,323.21, 248,801.32 and 116,584.31 is: 160,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,323.21 : 248,801.32 = 116,584.31 : x
  2. Step 2: Convert to fraction form
    180,323.21/248,801.32 = 116,584.31/x
  3. Step 3: Cross multiply
    180,323.21x = 248,801.32 × 116,584.31
  4. Step 4: Simplify right side
    180,323.21x = 29,006,330,987.02
  5. Step 5: Solve for x
    x = 29,006,330,987.02/180,323.21
  6. Step 6: Final answer
    x = 160,857.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.