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Finding the Fourth Proportional to 214,317.06, 295,760.90 and 117,529.76

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Solution

The fourth proportional to 214,317.06, 295,760.90 and 117,529.76 is: 162,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,317.06 : 295,760.90 = 117,529.76 : x
  2. Step 2: Convert to fraction form
    214,317.06/295,760.90 = 117,529.76/x
  3. Step 3: Cross multiply
    214,317.06x = 295,760.90 × 117,529.76
  4. Step 4: Simplify right side
    214,317.06x = 34,760,707,594.38
  5. Step 5: Solve for x
    x = 34,760,707,594.38/214,317.06
  6. Step 6: Final answer
    x = 162,192.91

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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.