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Finding the Fourth Proportional to 259,762.14, 358,339.68 and 157,760.46

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Solution

The fourth proportional to 259,762.14, 358,339.68 and 157,760.46 is: 217,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,762.14 : 358,339.68 = 157,760.46 : x
  2. Step 2: Convert to fraction form
    259,762.14/358,339.68 = 157,760.46/x
  3. Step 3: Cross multiply
    259,762.14x = 358,339.68 × 157,760.46
  4. Step 4: Simplify right side
    259,762.14x = 56,531,832,753.05
  5. Step 5: Solve for x
    x = 56,531,832,753.05/259,762.14
  6. Step 6: Final answer
    x = 217,629.22

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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.