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Finding the Fourth Proportional to 228,932.94, 343,010.61 and 110,659.98

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Solution

The fourth proportional to 228,932.94, 343,010.61 and 110,659.98 is: 165,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,932.94 : 343,010.61 = 110,659.98 : x
  2. Step 2: Convert to fraction form
    228,932.94/343,010.61 = 110,659.98/x
  3. Step 3: Cross multiply
    228,932.94x = 343,010.61 × 110,659.98
  4. Step 4: Simplify right side
    228,932.94x = 37,957,547,242.39
  5. Step 5: Solve for x
    x = 37,957,547,242.39/228,932.94
  6. Step 6: Final answer
    x = 165,802.03

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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.