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Finding the Fourth Proportional to 188,010.82, 259,308.30 and 116,430.58

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Solution

The fourth proportional to 188,010.82, 259,308.30 and 116,430.58 is: 160,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,010.82 : 259,308.30 = 116,430.58 : x
  2. Step 2: Convert to fraction form
    188,010.82/259,308.30 = 116,430.58/x
  3. Step 3: Cross multiply
    188,010.82x = 259,308.30 × 116,430.58
  4. Step 4: Simplify right side
    188,010.82x = 30,191,415,767.81
  5. Step 5: Solve for x
    x = 30,191,415,767.81/188,010.82
  6. Step 6: Final answer
    x = 160,583.39

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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.