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Finding the Fourth Proportional to 235,490.58, 353,186.43 and 77,682.06

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Solution

The fourth proportional to 235,490.58, 353,186.43 and 77,682.06 is: 116,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,490.58 : 353,186.43 = 77,682.06 : x
  2. Step 2: Convert to fraction form
    235,490.58/353,186.43 = 77,682.06/x
  3. Step 3: Cross multiply
    235,490.58x = 353,186.43 × 77,682.06
  4. Step 4: Simplify right side
    235,490.58x = 27,436,249,446.45
  5. Step 5: Solve for x
    x = 27,436,249,446.45/235,490.58
  6. Step 6: Final answer
    x = 116,506.78

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Why These Related Problems?

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