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Finding the Fourth Proportional to 216,105.18, 297,868.20 and 144,459.06

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Solution

The fourth proportional to 216,105.18, 297,868.20 and 144,459.06 is: 199,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,105.18 : 297,868.20 = 144,459.06 : x
  2. Step 2: Convert to fraction form
    216,105.18/297,868.20 = 144,459.06/x
  3. Step 3: Cross multiply
    216,105.18x = 297,868.20 × 144,459.06
  4. Step 4: Simplify right side
    216,105.18x = 43,029,760,175.89
  5. Step 5: Solve for x
    x = 43,029,760,175.89/216,105.18
  6. Step 6: Final answer
    x = 199,114.89

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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.