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Finding the Fourth Proportional to 180,792, 271,188 and 56,133

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Solution

The fourth proportional to 180,792, 271,188 and 56,133 is: 84,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,792 : 271,188 = 56,133 : x
  2. Step 2: Convert to fraction form
    180,792/271,188 = 56,133/x
  3. Step 3: Cross multiply
    180,792x = 271,188 × 56,133
  4. Step 4: Simplify right side
    180,792x = 15,222,596,004
  5. Step 5: Solve for x
    x = 15,222,596,004/180,792
  6. Step 6: Final answer
    x = 84,199.50

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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.