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Finding the Fourth Proportional to 188,457.72, 282,575.82 and 76,141.50

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Solution

The fourth proportional to 188,457.72, 282,575.82 and 76,141.50 is: 114,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,457.72 : 282,575.82 = 76,141.50 : x
  2. Step 2: Convert to fraction form
    188,457.72/282,575.82 = 76,141.50/x
  3. Step 3: Cross multiply
    188,457.72x = 282,575.82 × 76,141.50
  4. Step 4: Simplify right side
    188,457.72x = 21,515,746,798.53
  5. Step 5: Solve for x
    x = 21,515,746,798.53/188,457.72
  6. Step 6: Final answer
    x = 114,167.50

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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.