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Finding the Fourth Proportional to 218,447.84, 301,457.28 and 122,954.48

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Solution

The fourth proportional to 218,447.84, 301,457.28 and 122,954.48 is: 169,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,447.84 : 301,457.28 = 122,954.48 : x
  2. Step 2: Convert to fraction form
    218,447.84/301,457.28 = 122,954.48/x
  3. Step 3: Cross multiply
    218,447.84x = 301,457.28 × 122,954.48
  4. Step 4: Simplify right side
    218,447.84x = 37,065,523,104.61
  5. Step 5: Solve for x
    x = 37,065,523,104.61/218,447.84
  6. Step 6: Final answer
    x = 169,676.77

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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.