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Finding the Fourth Proportional to 257,141.84, 385,738.13 and 88,639.98

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Solution

The fourth proportional to 257,141.84, 385,738.13 and 88,639.98 is: 132,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,141.84 : 385,738.13 = 88,639.98 : x
  2. Step 2: Convert to fraction form
    257,141.84/385,738.13 = 88,639.98/x
  3. Step 3: Cross multiply
    257,141.84x = 385,738.13 × 88,639.98
  4. Step 4: Simplify right side
    257,141.84x = 34,191,820,128.44
  5. Step 5: Solve for x
    x = 34,191,820,128.44/257,141.84
  6. Step 6: Final answer
    x = 132,968.72

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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.