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Finding the Fourth Proportional to 209,166.30, 288,529.29 and 128,536.47

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Solution

The fourth proportional to 209,166.30, 288,529.29 and 128,536.47 is: 177,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,166.30 : 288,529.29 = 128,536.47 : x
  2. Step 2: Convert to fraction form
    209,166.30/288,529.29 = 128,536.47/x
  3. Step 3: Cross multiply
    209,166.30x = 288,529.29 × 128,536.47
  4. Step 4: Simplify right side
    209,166.30x = 37,086,536,428.21
  5. Step 5: Solve for x
    x = 37,086,536,428.21/209,166.30
  6. Step 6: Final answer
    x = 177,306.46

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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.