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Finding the Fourth Proportional to 128,304, 177,137.28 and 83,669.76

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Solution

The fourth proportional to 128,304, 177,137.28 and 83,669.76 is: 115,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,304 : 177,137.28 = 83,669.76 : x
  2. Step 2: Convert to fraction form
    128,304/177,137.28 = 83,669.76/x
  3. Step 3: Cross multiply
    128,304x = 177,137.28 × 83,669.76
  4. Step 4: Simplify right side
    128,304x = 14,821,033,704.65
  5. Step 5: Solve for x
    x = 14,821,033,704.65/128,304
  6. Step 6: Final answer
    x = 115,514.98

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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.