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Finding the Fourth Proportional to 235,668.85, 353,558.64 and 77,897.31

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Solution

The fourth proportional to 235,668.85, 353,558.64 and 77,897.31 is: 116,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,668.85 : 353,558.64 = 77,897.31 : x
  2. Step 2: Convert to fraction form
    235,668.85/353,558.64 = 77,897.31/x
  3. Step 3: Cross multiply
    235,668.85x = 353,558.64 × 77,897.31
  4. Step 4: Simplify right side
    235,668.85x = 27,541,266,983.26
  5. Step 5: Solve for x
    x = 27,541,266,983.26/235,668.85
  6. Step 6: Final answer
    x = 116,864.27

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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.