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Finding the Fourth Proportional to 275,462.49, 413,415.18 and 142,381.74

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Solution

The fourth proportional to 275,462.49, 413,415.18 and 142,381.74 is: 213,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,462.49 : 413,415.18 = 142,381.74 : x
  2. Step 2: Convert to fraction form
    275,462.49/413,415.18 = 142,381.74/x
  3. Step 3: Cross multiply
    275,462.49x = 413,415.18 × 142,381.74
  4. Step 4: Simplify right side
    275,462.49x = 58,862,772,670.81
  5. Step 5: Solve for x
    x = 58,862,772,670.81/275,462.49
  6. Step 6: Final answer
    x = 213,687.07

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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.