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Finding the Fourth Proportional to 219,009.50, 302,243.36 and 123,514.16

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Solution

The fourth proportional to 219,009.50, 302,243.36 and 123,514.16 is: 170,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,009.50 : 302,243.36 = 123,514.16 : x
  2. Step 2: Convert to fraction form
    219,009.50/302,243.36 = 123,514.16/x
  3. Step 3: Cross multiply
    219,009.50x = 302,243.36 × 123,514.16
  4. Step 4: Simplify right side
    219,009.50x = 37,331,334,725.98
  5. Step 5: Solve for x
    x = 37,331,334,725.98/219,009.50
  6. Step 6: Final answer
    x = 170,455.32

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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.