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Finding the Fourth Proportional to 102,164.15, 152,950.97 and 64,766.45

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Solution

The fourth proportional to 102,164.15, 152,950.97 and 64,766.45 is: 96,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.15 : 152,950.97 = 64,766.45 : x
  2. Step 2: Convert to fraction form
    102,164.15/152,950.97 = 64,766.45/x
  3. Step 3: Cross multiply
    102,164.15x = 152,950.97 × 64,766.45
  4. Step 4: Simplify right side
    102,164.15x = 9,906,090,748.12
  5. Step 5: Solve for x
    x = 9,906,090,748.12/102,164.15
  6. Step 6: Final answer
    x = 96,962.50

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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.