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Finding the Fourth Proportional to 102,149.91, 152,968.50 and 64,596.69

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Solution

The fourth proportional to 102,149.91, 152,968.50 and 64,596.69 is: 96,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.91 : 152,968.50 = 64,596.69 : x
  2. Step 2: Convert to fraction form
    102,149.91/152,968.50 = 64,596.69/x
  3. Step 3: Cross multiply
    102,149.91x = 152,968.50 × 64,596.69
  4. Step 4: Simplify right side
    102,149.91x = 9,881,258,774.27
  5. Step 5: Solve for x
    x = 9,881,258,774.27/102,149.91
  6. Step 6: Final answer
    x = 96,732.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.