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Finding the Fourth Proportional to 218,498.52, 301,457.57 and 132,492

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Solution

The fourth proportional to 218,498.52, 301,457.57 and 132,492 is: 182,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,498.52 : 301,457.57 = 132,492 : x
  2. Step 2: Convert to fraction form
    218,498.52/301,457.57 = 132,492/x
  3. Step 3: Cross multiply
    218,498.52x = 301,457.57 × 132,492
  4. Step 4: Simplify right side
    218,498.52x = 39,940,715,701.98
  5. Step 5: Solve for x
    x = 39,940,715,701.98/218,498.52
  6. Step 6: Final answer
    x = 182,796.28

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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.