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Finding the Fourth Proportional to 188,199.52, 259,714.22 and 102,160.22

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Solution

The fourth proportional to 188,199.52, 259,714.22 and 102,160.22 is: 140,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,199.52 : 259,714.22 = 102,160.22 : x
  2. Step 2: Convert to fraction form
    188,199.52/259,714.22 = 102,160.22/x
  3. Step 3: Cross multiply
    188,199.52x = 259,714.22 × 102,160.22
  4. Step 4: Simplify right side
    188,199.52x = 26,532,461,852.33
  5. Step 5: Solve for x
    x = 26,532,461,852.33/188,199.52
  6. Step 6: Final answer
    x = 140,980.50

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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.