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Finding the Fourth Proportional to 218,805.84, 301,952.16 and 118,203.84

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Solution

The fourth proportional to 218,805.84, 301,952.16 and 118,203.84 is: 163,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,805.84 : 301,952.16 = 118,203.84 : x
  2. Step 2: Convert to fraction form
    218,805.84/301,952.16 = 118,203.84/x
  3. Step 3: Cross multiply
    218,805.84x = 301,952.16 × 118,203.84
  4. Step 4: Simplify right side
    218,805.84x = 35,691,904,808.29
  5. Step 5: Solve for x
    x = 35,691,904,808.29/218,805.84
  6. Step 6: Final answer
    x = 163,121.35

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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.