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Finding the Fourth Proportional to 235,638.98, 353,513.15 and 77,857.87

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Solution

The fourth proportional to 235,638.98, 353,513.15 and 77,857.87 is: 116,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,638.98 : 353,513.15 = 77,857.87 : x
  2. Step 2: Convert to fraction form
    235,638.98/353,513.15 = 77,857.87/x
  3. Step 3: Cross multiply
    235,638.98x = 353,513.15 × 77,857.87
  4. Step 4: Simplify right side
    235,638.98x = 27,523,779,782.44
  5. Step 5: Solve for x
    x = 27,523,779,782.44/235,638.98
  6. Step 6: Final answer
    x = 116,804.87

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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.