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Finding the Fourth Proportional to 243,053.88, 364,664.70 and 100,975.48

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Solution

The fourth proportional to 243,053.88, 364,664.70 and 100,975.48 is: 151,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,053.88 : 364,664.70 = 100,975.48 : x
  2. Step 2: Convert to fraction form
    243,053.88/364,664.70 = 100,975.48/x
  3. Step 3: Cross multiply
    243,053.88x = 364,664.70 × 100,975.48
  4. Step 4: Simplify right side
    243,053.88x = 36,822,193,121.56
  5. Step 5: Solve for x
    x = 36,822,193,121.56/243,053.88
  6. Step 6: Final answer
    x = 151,498.07

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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.