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Finding the Fourth Proportional to 259,034.56, 357,369.44 and 157,022.82

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Solution

The fourth proportional to 259,034.56, 357,369.44 and 157,022.82 is: 216,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,034.56 : 357,369.44 = 157,022.82 : x
  2. Step 2: Convert to fraction form
    259,034.56/357,369.44 = 157,022.82/x
  3. Step 3: Cross multiply
    259,034.56x = 357,369.44 × 157,022.82
  4. Step 4: Simplify right side
    259,034.56x = 56,115,156,465.51
  5. Step 5: Solve for x
    x = 56,115,156,465.51/259,034.56
  6. Step 6: Final answer
    x = 216,631.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.