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Finding the Fourth Proportional to 257,090.58, 385,597.89 and 150,523.74

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Solution

The fourth proportional to 257,090.58, 385,597.89 and 150,523.74 is: 225,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,090.58 : 385,597.89 = 150,523.74 : x
  2. Step 2: Convert to fraction form
    257,090.58/385,597.89 = 150,523.74/x
  3. Step 3: Cross multiply
    257,090.58x = 385,597.89 × 150,523.74
  4. Step 4: Simplify right side
    257,090.58x = 58,041,636,538.91
  5. Step 5: Solve for x
    x = 58,041,636,538.91/257,090.58
  6. Step 6: Final answer
    x = 225,763.37

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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.