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Finding the Fourth Proportional to 257,058.08, 385,653.60 and 150,532

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Solution

The fourth proportional to 257,058.08, 385,653.60 and 150,532 is: 225,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,058.08 : 385,653.60 = 150,532 : x
  2. Step 2: Convert to fraction form
    257,058.08/385,653.60 = 150,532/x
  3. Step 3: Cross multiply
    257,058.08x = 385,653.60 × 150,532
  4. Step 4: Simplify right side
    257,058.08x = 58,053,207,715.20
  5. Step 5: Solve for x
    x = 58,053,207,715.20/257,058.08
  6. Step 6: Final answer
    x = 225,836.93

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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.