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Finding the Fourth Proportional to 257,098.71, 385,673.58 and 88,596.44

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Solution

The fourth proportional to 257,098.71, 385,673.58 and 88,596.44 is: 132,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098.71 : 385,673.58 = 88,596.44 : x
  2. Step 2: Convert to fraction form
    257,098.71/385,673.58 = 88,596.44/x
  3. Step 3: Cross multiply
    257,098.71x = 385,673.58 × 88,596.44
  4. Step 4: Simplify right side
    257,098.71x = 34,169,304,261.69
  5. Step 5: Solve for x
    x = 34,169,304,261.69/257,098.71
  6. Step 6: Final answer
    x = 132,903.44

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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.