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Finding the Fourth Proportional to 138,973.46, 208,457.31 and 33,792.98

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Solution

The fourth proportional to 138,973.46, 208,457.31 and 33,792.98 is: 50,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,973.46 : 208,457.31 = 33,792.98 : x
  2. Step 2: Convert to fraction form
    138,973.46/208,457.31 = 33,792.98/x
  3. Step 3: Cross multiply
    138,973.46x = 208,457.31 × 33,792.98
  4. Step 4: Simplify right side
    138,973.46x = 7,044,393,707.68
  5. Step 5: Solve for x
    x = 7,044,393,707.68/138,973.46
  6. Step 6: Final answer
    x = 50,688.77

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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.