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Finding the Fourth Proportional to 214,089.86, 321,122.46 and 64,326.98

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Solution

The fourth proportional to 214,089.86, 321,122.46 and 64,326.98 is: 96,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,089.86 : 321,122.46 = 64,326.98 : x
  2. Step 2: Convert to fraction form
    214,089.86/321,122.46 = 64,326.98/x
  3. Step 3: Cross multiply
    214,089.86x = 321,122.46 × 64,326.98
  4. Step 4: Simplify right side
    214,089.86x = 20,656,838,061.97
  5. Step 5: Solve for x
    x = 20,656,838,061.97/214,089.86
  6. Step 6: Final answer
    x = 96,486.77

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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.