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Finding the Fourth Proportional to 214,168.32, 295,666.88 and 136,721.86

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Solution

The fourth proportional to 214,168.32, 295,666.88 and 136,721.86 is: 188,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,168.32 : 295,666.88 = 136,721.86 : x
  2. Step 2: Convert to fraction form
    214,168.32/295,666.88 = 136,721.86/x
  3. Step 3: Cross multiply
    214,168.32x = 295,666.88 × 136,721.86
  4. Step 4: Simplify right side
    214,168.32x = 40,424,124,351.22
  5. Step 5: Solve for x
    x = 40,424,124,351.22/214,168.32
  6. Step 6: Final answer
    x = 188,749.32

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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.