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Finding the Fourth Proportional to 289,496.80, 434,091.60 and 102,514.40

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Solution

The fourth proportional to 289,496.80, 434,091.60 and 102,514.40 is: 153,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,496.80 : 434,091.60 = 102,514.40 : x
  2. Step 2: Convert to fraction form
    289,496.80/434,091.60 = 102,514.40/x
  3. Step 3: Cross multiply
    289,496.80x = 434,091.60 × 102,514.40
  4. Step 4: Simplify right side
    289,496.80x = 44,500,639,919.04
  5. Step 5: Solve for x
    x = 44,500,639,919.04/289,496.80
  6. Step 6: Final answer
    x = 153,717.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.