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Finding the Fourth Proportional to 157,077.98, 216,768.57 and 85,458.51

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Solution

The fourth proportional to 157,077.98, 216,768.57 and 85,458.51 is: 117,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077.98 : 216,768.57 = 85,458.51 : x
  2. Step 2: Convert to fraction form
    157,077.98/216,768.57 = 85,458.51/x
  3. Step 3: Cross multiply
    157,077.98x = 216,768.57 × 85,458.51
  4. Step 4: Simplify right side
    157,077.98x = 18,524,718,579.74
  5. Step 5: Solve for x
    x = 18,524,718,579.74/157,077.98
  6. Step 6: Final answer
    x = 117,933.27

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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.