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Finding the Fourth Proportional to 214,564.67, 295,421.54 and 188,976.77

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Solution

The fourth proportional to 214,564.67, 295,421.54 and 188,976.77 is: 260,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,564.67 : 295,421.54 = 188,976.77 : x
  2. Step 2: Convert to fraction form
    214,564.67/295,421.54 = 188,976.77/x
  3. Step 3: Cross multiply
    214,564.67x = 295,421.54 × 188,976.77
  4. Step 4: Simplify right side
    214,564.67x = 55,827,805,995.63
  5. Step 5: Solve for x
    x = 55,827,805,995.63/214,564.67
  6. Step 6: Final answer
    x = 260,191.05

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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.