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Finding the Fourth Proportional to 214,386.22, 295,853.40 and 117,590.86

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Solution

The fourth proportional to 214,386.22, 295,853.40 and 117,590.86 is: 162,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,386.22 : 295,853.40 = 117,590.86 : x
  2. Step 2: Convert to fraction form
    214,386.22/295,853.40 = 117,590.86/x
  3. Step 3: Cross multiply
    214,386.22x = 295,853.40 × 117,590.86
  4. Step 4: Simplify right side
    214,386.22x = 34,789,655,739.92
  5. Step 5: Solve for x
    x = 34,789,655,739.92/214,386.22
  6. Step 6: Final answer
    x = 162,275.62

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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.