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Finding the Fourth Proportional to 214,259.98, 295,681.77 and 117,472.96

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Solution

The fourth proportional to 214,259.98, 295,681.77 and 117,472.96 is: 162,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,259.98 : 295,681.77 = 117,472.96 : x
  2. Step 2: Convert to fraction form
    214,259.98/295,681.77 = 117,472.96/x
  3. Step 3: Cross multiply
    214,259.98x = 295,681.77 × 117,472.96
  4. Step 4: Simplify right side
    214,259.98x = 34,734,612,739.94
  5. Step 5: Solve for x
    x = 34,734,612,739.94/214,259.98
  6. Step 6: Final answer
    x = 162,114.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.