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Finding the Fourth Proportional to 114,429.60, 171,644.40 and 102,182.40

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Solution

The fourth proportional to 114,429.60, 171,644.40 and 102,182.40 is: 153,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,429.60 : 171,644.40 = 102,182.40 : x
  2. Step 2: Convert to fraction form
    114,429.60/171,644.40 = 102,182.40/x
  3. Step 3: Cross multiply
    114,429.60x = 171,644.40 × 102,182.40
  4. Step 4: Simplify right side
    114,429.60x = 17,539,036,738.56
  5. Step 5: Solve for x
    x = 17,539,036,738.56/114,429.60
  6. Step 6: Final answer
    x = 153,273.60

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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.