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Finding the Fourth Proportional to 152,815.50, 229,315.41 and 65,263.50

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Solution

The fourth proportional to 152,815.50, 229,315.41 and 65,263.50 is: 97,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,815.50 : 229,315.41 = 65,263.50 : x
  2. Step 2: Convert to fraction form
    152,815.50/229,315.41 = 65,263.50/x
  3. Step 3: Cross multiply
    152,815.50x = 229,315.41 × 65,263.50
  4. Step 4: Simplify right side
    152,815.50x = 14,965,926,260.54
  5. Step 5: Solve for x
    x = 14,965,926,260.54/152,815.50
  6. Step 6: Final answer
    x = 97,934.61

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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.