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Finding the Fourth Proportional to 171,491.60, 256,508.40 and 153,849.80

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Solution

The fourth proportional to 171,491.60, 256,508.40 and 153,849.80 is: 230,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,491.60 : 256,508.40 = 153,849.80 : x
  2. Step 2: Convert to fraction form
    171,491.60/256,508.40 = 153,849.80/x
  3. Step 3: Cross multiply
    171,491.60x = 256,508.40 × 153,849.80
  4. Step 4: Simplify right side
    171,491.60x = 39,463,766,038.32
  5. Step 5: Solve for x
    x = 39,463,766,038.32/171,491.60
  6. Step 6: Final answer
    x = 230,120.69

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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.