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Finding the Fourth Proportional to 214,354.87, 295,788.40 and 123,740.03

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Solution

The fourth proportional to 214,354.87, 295,788.40 and 123,740.03 is: 170,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,354.87 : 295,788.40 = 123,740.03 : x
  2. Step 2: Convert to fraction form
    214,354.87/295,788.40 = 123,740.03/x
  3. Step 3: Cross multiply
    214,354.87x = 295,788.40 × 123,740.03
  4. Step 4: Simplify right side
    214,354.87x = 36,600,865,489.65
  5. Step 5: Solve for x
    x = 36,600,865,489.65/214,354.87
  6. Step 6: Final answer
    x = 170,748.93

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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.