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Finding the Fourth Proportional to 170,762.90, 235,843.10 and 132,977

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Solution

The fourth proportional to 170,762.90, 235,843.10 and 132,977 is: 183,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,762.90 : 235,843.10 = 132,977 : x
  2. Step 2: Convert to fraction form
    170,762.90/235,843.10 = 132,977/x
  3. Step 3: Cross multiply
    170,762.90x = 235,843.10 × 132,977
  4. Step 4: Simplify right side
    170,762.90x = 31,361,707,908.70
  5. Step 5: Solve for x
    x = 31,361,707,908.70/170,762.90
  6. Step 6: Final answer
    x = 183,656.45

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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.