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Finding the Fourth Proportional to 259,795.42, 358,479.24 and 157,767.82

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Solution

The fourth proportional to 259,795.42, 358,479.24 and 157,767.82 is: 217,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,795.42 : 358,479.24 = 157,767.82 : x
  2. Step 2: Convert to fraction form
    259,795.42/358,479.24 = 157,767.82/x
  3. Step 3: Cross multiply
    259,795.42x = 358,479.24 × 157,767.82
  4. Step 4: Simplify right side
    259,795.42x = 56,556,488,210.06
  5. Step 5: Solve for x
    x = 56,556,488,210.06/259,795.42
  6. Step 6: Final answer
    x = 217,696.25

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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.