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Finding the Fourth Proportional to 271,623.72, 407,457.36 and 103,224.72

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Solution

The fourth proportional to 271,623.72, 407,457.36 and 103,224.72 is: 154,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,623.72 : 407,457.36 = 103,224.72 : x
  2. Step 2: Convert to fraction form
    271,623.72/407,457.36 = 103,224.72/x
  3. Step 3: Cross multiply
    271,623.72x = 407,457.36 × 103,224.72
  4. Step 4: Simplify right side
    271,623.72x = 42,059,671,897.94
  5. Step 5: Solve for x
    x = 42,059,671,897.94/271,623.72
  6. Step 6: Final answer
    x = 154,845.36

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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.