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Finding the Fourth Proportional to 180,952.47, 271,430.66 and 54,593.81

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Solution

The fourth proportional to 180,952.47, 271,430.66 and 54,593.81 is: 81,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952.47 : 271,430.66 = 54,593.81 : x
  2. Step 2: Convert to fraction form
    180,952.47/271,430.66 = 54,593.81/x
  3. Step 3: Cross multiply
    180,952.47x = 271,430.66 × 54,593.81
  4. Step 4: Simplify right side
    180,952.47x = 14,818,433,828.79
  5. Step 5: Solve for x
    x = 14,818,433,828.79/180,952.47
  6. Step 6: Final answer
    x = 81,891.31

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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.