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Finding the Fourth Proportional to 214,118.37, 295,495.72 and 117,322.40

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Solution

The fourth proportional to 214,118.37, 295,495.72 and 117,322.40 is: 161,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,118.37 : 295,495.72 = 117,322.40 : x
  2. Step 2: Convert to fraction form
    214,118.37/295,495.72 = 117,322.40/x
  3. Step 3: Cross multiply
    214,118.37x = 295,495.72 × 117,322.40
  4. Step 4: Simplify right side
    214,118.37x = 34,668,267,060.13
  5. Step 5: Solve for x
    x = 34,668,267,060.13/214,118.37
  6. Step 6: Final answer
    x = 161,911.69

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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.