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Finding the Fourth Proportional to 131,010.75, 180,824.00 and 83,254.77

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Solution

The fourth proportional to 131,010.75, 180,824.00 and 83,254.77 is: 114,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,010.75 : 180,824.00 = 83,254.77 : x
  2. Step 2: Convert to fraction form
    131,010.75/180,824.00 = 83,254.77/x
  3. Step 3: Cross multiply
    131,010.75x = 180,824.00 × 83,254.77
  4. Step 4: Simplify right side
    131,010.75x = 15,054,460,114.21
  5. Step 5: Solve for x
    x = 15,054,460,114.21/131,010.75
  6. Step 6: Final answer
    x = 114,910.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.