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Finding the Fourth Proportional to 216,064.28, 324,213.06 and 105,256.28

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Solution

The fourth proportional to 216,064.28, 324,213.06 and 105,256.28 is: 157,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,064.28 : 324,213.06 = 105,256.28 : x
  2. Step 2: Convert to fraction form
    216,064.28/324,213.06 = 105,256.28/x
  3. Step 3: Cross multiply
    216,064.28x = 324,213.06 × 105,256.28
  4. Step 4: Simplify right side
    216,064.28x = 34,125,460,623.02
  5. Step 5: Solve for x
    x = 34,125,460,623.02/216,064.28
  6. Step 6: Final answer
    x = 157,941.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.