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Finding the Fourth Proportional to 214,534.88, 321,854.32 and 64,766.22

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Solution

The fourth proportional to 214,534.88, 321,854.32 and 64,766.22 is: 97,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,534.88 : 321,854.32 = 64,766.22 : x
  2. Step 2: Convert to fraction form
    214,534.88/321,854.32 = 64,766.22/x
  3. Step 3: Cross multiply
    214,534.88x = 321,854.32 × 64,766.22
  4. Step 4: Simplify right side
    214,534.88x = 20,845,287,697.07
  5. Step 5: Solve for x
    x = 20,845,287,697.07/214,534.88
  6. Step 6: Final answer
    x = 97,165.03

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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.