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Finding the Fourth Proportional to 219,026.24, 302,255.80 and 123,532.64

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Solution

The fourth proportional to 219,026.24, 302,255.80 and 123,532.64 is: 170,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,026.24 : 302,255.80 = 123,532.64 : x
  2. Step 2: Convert to fraction form
    219,026.24/302,255.80 = 123,532.64/x
  3. Step 3: Cross multiply
    219,026.24x = 302,255.80 × 123,532.64
  4. Step 4: Simplify right side
    219,026.24x = 37,338,456,929.31
  5. Step 5: Solve for x
    x = 37,338,456,929.31/219,026.24
  6. Step 6: Final answer
    x = 170,474.81

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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.