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Finding the Fourth Proportional to 235,885.26, 353,762.10 and 78,125.97

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Solution

The fourth proportional to 235,885.26, 353,762.10 and 78,125.97 is: 117,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,885.26 : 353,762.10 = 78,125.97 : x
  2. Step 2: Convert to fraction form
    235,885.26/353,762.10 = 78,125.97/x
  3. Step 3: Cross multiply
    235,885.26x = 353,762.10 × 78,125.97
  4. Step 4: Simplify right side
    235,885.26x = 27,638,007,211.74
  5. Step 5: Solve for x
    x = 27,638,007,211.74/235,885.26
  6. Step 6: Final answer
    x = 117,167.17

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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.