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Finding the Fourth Proportional to 289,748.70, 434,277.45 and 121,268.70

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Solution

The fourth proportional to 289,748.70, 434,277.45 and 121,268.70 is: 181,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,748.70 : 434,277.45 = 121,268.70 : x
  2. Step 2: Convert to fraction form
    289,748.70/434,277.45 = 121,268.70/x
  3. Step 3: Cross multiply
    289,748.70x = 434,277.45 × 121,268.70
  4. Step 4: Simplify right side
    289,748.70x = 52,664,261,800.82
  5. Step 5: Solve for x
    x = 52,664,261,800.82/289,748.70
  6. Step 6: Final answer
    x = 181,758.41

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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.