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Finding the Fourth Proportional to 214,322.30, 295,782.88 and 118,859.75

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Solution

The fourth proportional to 214,322.30, 295,782.88 and 118,859.75 is: 164,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,322.30 : 295,782.88 = 118,859.75 : x
  2. Step 2: Convert to fraction form
    214,322.30/295,782.88 = 118,859.75/x
  3. Step 3: Cross multiply
    214,322.30x = 295,782.88 × 118,859.75
  4. Step 4: Simplify right side
    214,322.30x = 35,156,679,171.08
  5. Step 5: Solve for x
    x = 35,156,679,171.08/214,322.30
  6. Step 6: Final answer
    x = 164,036.50

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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.