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Finding the Fourth Proportional to 259,409.03, 357,930.02 and 157,488.14

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Solution

The fourth proportional to 259,409.03, 357,930.02 and 157,488.14 is: 217,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,409.03 : 357,930.02 = 157,488.14 : x
  2. Step 2: Convert to fraction form
    259,409.03/357,930.02 = 157,488.14/x
  3. Step 3: Cross multiply
    259,409.03x = 357,930.02 × 157,488.14
  4. Step 4: Simplify right side
    259,409.03x = 56,369,734,388.51
  5. Step 5: Solve for x
    x = 56,369,734,388.51/259,409.03
  6. Step 6: Final answer
    x = 217,300.59

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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.