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Finding the Fourth Proportional to 210,778.83, 316,104.43 and 110,883.93

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Solution

The fourth proportional to 210,778.83, 316,104.43 and 110,883.93 is: 166,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,778.83 : 316,104.43 = 110,883.93 : x
  2. Step 2: Convert to fraction form
    210,778.83/316,104.43 = 110,883.93/x
  3. Step 3: Cross multiply
    210,778.83x = 316,104.43 × 110,883.93
  4. Step 4: Simplify right side
    210,778.83x = 35,050,901,488.81
  5. Step 5: Solve for x
    x = 35,050,901,488.81/210,778.83
  6. Step 6: Final answer
    x = 166,292.32

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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.