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Finding the Fourth Proportional to 114,156, 171,234.54 and 40,284

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Solution

The fourth proportional to 114,156, 171,234.54 and 40,284 is: 60,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,156 : 171,234.54 = 40,284 : x
  2. Step 2: Convert to fraction form
    114,156/171,234.54 = 40,284/x
  3. Step 3: Cross multiply
    114,156x = 171,234.54 × 40,284
  4. Step 4: Simplify right side
    114,156x = 6,898,012,209.36
  5. Step 5: Solve for x
    x = 6,898,012,209.36/114,156
  6. Step 6: Final answer
    x = 60,426.19

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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.