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Finding the Fourth Proportional to 164,578.64, 246,681.30 and 75,648.40

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Solution

The fourth proportional to 164,578.64, 246,681.30 and 75,648.40 is: 113,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578.64 : 246,681.30 = 75,648.40 : x
  2. Step 2: Convert to fraction form
    164,578.64/246,681.30 = 75,648.40/x
  3. Step 3: Cross multiply
    164,578.64x = 246,681.30 × 75,648.40
  4. Step 4: Simplify right side
    164,578.64x = 18,661,045,654.92
  5. Step 5: Solve for x
    x = 18,661,045,654.92/164,578.64
  6. Step 6: Final answer
    x = 113,386.80

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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.