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Finding the Fourth Proportional to 257,140.83, 385,736.62 and 88,638.98

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Solution

The fourth proportional to 257,140.83, 385,736.62 and 88,638.98 is: 132,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,140.83 : 385,736.62 = 88,638.98 : x
  2. Step 2: Convert to fraction form
    257,140.83/385,736.62 = 88,638.98/x
  3. Step 3: Cross multiply
    257,140.83x = 385,736.62 × 88,638.98
  4. Step 4: Simplify right side
    257,140.83x = 34,191,299,250.38
  5. Step 5: Solve for x
    x = 34,191,299,250.38/257,140.83
  6. Step 6: Final answer
    x = 132,967.21

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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.