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Finding the Fourth Proportional to 259,518.78, 358,201.17 and 146,407.14

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Solution

The fourth proportional to 259,518.78, 358,201.17 and 146,407.14 is: 202,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,518.78 : 358,201.17 = 146,407.14 : x
  2. Step 2: Convert to fraction form
    259,518.78/358,201.17 = 146,407.14/x
  3. Step 3: Cross multiply
    259,518.78x = 358,201.17 × 146,407.14
  4. Step 4: Simplify right side
    259,518.78x = 52,443,208,844.35
  5. Step 5: Solve for x
    x = 52,443,208,844.35/259,518.78
  6. Step 6: Final answer
    x = 202,078.67

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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.