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Finding the Fourth Proportional to 243,953.02, 365,963.55 and 110,866.78

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Solution

The fourth proportional to 243,953.02, 365,963.55 and 110,866.78 is: 166,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,953.02 : 365,963.55 = 110,866.78 : x
  2. Step 2: Convert to fraction form
    243,953.02/365,963.55 = 110,866.78/x
  3. Step 3: Cross multiply
    243,953.02x = 365,963.55 × 110,866.78
  4. Step 4: Simplify right side
    243,953.02x = 40,573,200,385.87
  5. Step 5: Solve for x
    x = 40,573,200,385.87/243,953.02
  6. Step 6: Final answer
    x = 166,315.63

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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.