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Finding the Fourth Proportional to 289,207.80, 433,811.70 and 131,743.80

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Solution

The fourth proportional to 289,207.80, 433,811.70 and 131,743.80 is: 197,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,207.80 : 433,811.70 = 131,743.80 : x
  2. Step 2: Convert to fraction form
    289,207.80/433,811.70 = 131,743.80/x
  3. Step 3: Cross multiply
    289,207.80x = 433,811.70 × 131,743.80
  4. Step 4: Simplify right side
    289,207.80x = 57,152,001,842.46
  5. Step 5: Solve for x
    x = 57,152,001,842.46/289,207.80
  6. Step 6: Final answer
    x = 197,615.70

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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.