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Finding the Fourth Proportional to 132,349.44, 182,664 and 96,657.60

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Solution

The fourth proportional to 132,349.44, 182,664 and 96,657.60 is: 133,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,349.44 : 182,664 = 96,657.60 : x
  2. Step 2: Convert to fraction form
    132,349.44/182,664 = 96,657.60/x
  3. Step 3: Cross multiply
    132,349.44x = 182,664 × 96,657.60
  4. Step 4: Simplify right side
    132,349.44x = 17,655,863,846.40
  5. Step 5: Solve for x
    x = 17,655,863,846.40/132,349.44
  6. Step 6: Final answer
    x = 133,403.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.