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Finding the Fourth Proportional to 214,275.82, 295,699 and 117,478.53

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Solution

The fourth proportional to 214,275.82, 295,699 and 117,478.53 is: 162,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,275.82 : 295,699 = 117,478.53 : x
  2. Step 2: Convert to fraction form
    214,275.82/295,699 = 117,478.53/x
  3. Step 3: Cross multiply
    214,275.82x = 295,699 × 117,478.53
  4. Step 4: Simplify right side
    214,275.82x = 34,738,283,842.47
  5. Step 5: Solve for x
    x = 34,738,283,842.47/214,275.82
  6. Step 6: Final answer
    x = 162,119.48

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Why These Related Problems?

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