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Finding the Fourth Proportional to 209,514.34, 289,129.80 and 114,018.94

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Solution

The fourth proportional to 209,514.34, 289,129.80 and 114,018.94 is: 157,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,514.34 : 289,129.80 = 114,018.94 : x
  2. Step 2: Convert to fraction form
    209,514.34/289,129.80 = 114,018.94/x
  3. Step 3: Cross multiply
    209,514.34x = 289,129.80 × 114,018.94
  4. Step 4: Simplify right side
    209,514.34x = 32,966,273,318.41
  5. Step 5: Solve for x
    x = 32,966,273,318.41/209,514.34
  6. Step 6: Final answer
    x = 157,346.14

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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.