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Finding the Fourth Proportional to 268,266.33, 402,461.73 and 78,719.04

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Solution

The fourth proportional to 268,266.33, 402,461.73 and 78,719.04 is: 118,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,266.33 : 402,461.73 = 78,719.04 : x
  2. Step 2: Convert to fraction form
    268,266.33/402,461.73 = 78,719.04/x
  3. Step 3: Cross multiply
    268,266.33x = 402,461.73 × 78,719.04
  4. Step 4: Simplify right side
    268,266.33x = 31,681,401,022.34
  5. Step 5: Solve for x
    x = 31,681,401,022.34/268,266.33
  6. Step 6: Final answer
    x = 118,096.82

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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.