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Finding the Fourth Proportional to 164,135.67, 246,225 and 64,282.89

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Solution

The fourth proportional to 164,135.67, 246,225 and 64,282.89 is: 96,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,135.67 : 246,225 = 64,282.89 : x
  2. Step 2: Convert to fraction form
    164,135.67/246,225 = 64,282.89/x
  3. Step 3: Cross multiply
    164,135.67x = 246,225 × 64,282.89
  4. Step 4: Simplify right side
    164,135.67x = 15,828,054,590.25
  5. Step 5: Solve for x
    x = 15,828,054,590.25/164,135.67
  6. Step 6: Final answer
    x = 96,432.75

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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.