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Finding the Fourth Proportional to 214,139.54, 295,502.61 and 117,342.82

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Solution

The fourth proportional to 214,139.54, 295,502.61 and 117,342.82 is: 161,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,139.54 : 295,502.61 = 117,342.82 : x
  2. Step 2: Convert to fraction form
    214,139.54/295,502.61 = 117,342.82/x
  3. Step 3: Cross multiply
    214,139.54x = 295,502.61 × 117,342.82
  4. Step 4: Simplify right side
    214,139.54x = 34,675,109,574.76
  5. Step 5: Solve for x
    x = 34,675,109,574.76/214,139.54
  6. Step 6: Final answer
    x = 161,927.64

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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.