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Finding the Fourth Proportional to 192,585.16, 288,818.88 and 67,897

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Solution

The fourth proportional to 192,585.16, 288,818.88 and 67,897 is: 101,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,585.16 : 288,818.88 = 67,897 : x
  2. Step 2: Convert to fraction form
    192,585.16/288,818.88 = 67,897/x
  3. Step 3: Cross multiply
    192,585.16x = 288,818.88 × 67,897
  4. Step 4: Simplify right side
    192,585.16x = 19,609,935,495.36
  5. Step 5: Solve for x
    x = 19,609,935,495.36/192,585.16
  6. Step 6: Final answer
    x = 101,824.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.