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Finding the Fourth Proportional to 210,829.58, 290,947.12 and 115,334.22

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Solution

The fourth proportional to 210,829.58, 290,947.12 and 115,334.22 is: 159,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,829.58 : 290,947.12 = 115,334.22 : x
  2. Step 2: Convert to fraction form
    210,829.58/290,947.12 = 115,334.22/x
  3. Step 3: Cross multiply
    210,829.58x = 290,947.12 × 115,334.22
  4. Step 4: Simplify right side
    210,829.58x = 33,556,159,949.16
  5. Step 5: Solve for x
    x = 33,556,159,949.16/210,829.58
  6. Step 6: Final answer
    x = 159,162.49

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