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Finding the Fourth Proportional to 218,857.13, 301,971.40 and 132,814.17

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Solution

The fourth proportional to 218,857.13, 301,971.40 and 132,814.17 is: 183,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,857.13 : 301,971.40 = 132,814.17 : x
  2. Step 2: Convert to fraction form
    218,857.13/301,971.40 = 132,814.17/x
  3. Step 3: Cross multiply
    218,857.13x = 301,971.40 × 132,814.17
  4. Step 4: Simplify right side
    218,857.13x = 40,106,080,854.74
  5. Step 5: Solve for x
    x = 40,106,080,854.74/218,857.13
  6. Step 6: Final answer
    x = 183,252.34

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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.