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Finding the Fourth Proportional to 214,017.52, 295,246.20 and 138,590.32

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Solution

The fourth proportional to 214,017.52, 295,246.20 and 138,590.32 is: 191,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,017.52 : 295,246.20 = 138,590.32 : x
  2. Step 2: Convert to fraction form
    214,017.52/295,246.20 = 138,590.32/x
  3. Step 3: Cross multiply
    214,017.52x = 295,246.20 × 138,590.32
  4. Step 4: Simplify right side
    214,017.52x = 40,918,265,336.78
  5. Step 5: Solve for x
    x = 40,918,265,336.78/214,017.52
  6. Step 6: Final answer
    x = 191,191.19

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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.