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Finding the Fourth Proportional to 219,313.98, 302,647.05 and 123,829.56

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Solution

The fourth proportional to 219,313.98, 302,647.05 and 123,829.56 is: 170,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,313.98 : 302,647.05 = 123,829.56 : x
  2. Step 2: Convert to fraction form
    219,313.98/302,647.05 = 123,829.56/x
  3. Step 3: Cross multiply
    219,313.98x = 302,647.05 × 123,829.56
  4. Step 4: Simplify right side
    219,313.98x = 37,476,651,036.80
  5. Step 5: Solve for x
    x = 37,476,651,036.80/219,313.98
  6. Step 6: Final answer
    x = 170,881.27

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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.