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Finding the Fourth Proportional to 274,420.48, 411,646.92 and 105,941.92

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Solution

The fourth proportional to 274,420.48, 411,646.92 and 105,941.92 is: 158,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,420.48 : 411,646.92 = 105,941.92 : x
  2. Step 2: Convert to fraction form
    274,420.48/411,646.92 = 105,941.92/x
  3. Step 3: Cross multiply
    274,420.48x = 411,646.92 × 105,941.92
  4. Step 4: Simplify right side
    274,420.48x = 43,610,665,066.89
  5. Step 5: Solve for x
    x = 43,610,665,066.89/274,420.48
  6. Step 6: Final answer
    x = 158,919.13

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Why These Related Problems?

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