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Finding the Fourth Proportional to 209,538.34, 289,032.33 and 127,829.26

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Solution

The fourth proportional to 209,538.34, 289,032.33 and 127,829.26 is: 176,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,538.34 : 289,032.33 = 127,829.26 : x
  2. Step 2: Convert to fraction form
    209,538.34/289,032.33 = 127,829.26/x
  3. Step 3: Cross multiply
    209,538.34x = 289,032.33 × 127,829.26
  4. Step 4: Simplify right side
    209,538.34x = 36,946,788,859.98
  5. Step 5: Solve for x
    x = 36,946,788,859.98/209,538.34
  6. Step 6: Final answer
    x = 176,324.72

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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.