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Finding the Fourth Proportional to 209,514.58, 289,468.38 and 146,135.32

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Solution

The fourth proportional to 209,514.58, 289,468.38 and 146,135.32 is: 201,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,514.58 : 289,468.38 = 146,135.32 : x
  2. Step 2: Convert to fraction form
    209,514.58/289,468.38 = 146,135.32/x
  3. Step 3: Cross multiply
    209,514.58x = 289,468.38 × 146,135.32
  4. Step 4: Simplify right side
    209,514.58x = 42,301,554,341.18
  5. Step 5: Solve for x
    x = 42,301,554,341.18/209,514.58
  6. Step 6: Final answer
    x = 201,902.68

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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.