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Finding the Fourth Proportional to 192,222.84, 265,266.46 and 106,187.74

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Solution

The fourth proportional to 192,222.84, 265,266.46 and 106,187.74 is: 146,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,222.84 : 265,266.46 = 106,187.74 : x
  2. Step 2: Convert to fraction form
    192,222.84/265,266.46 = 106,187.74/x
  3. Step 3: Cross multiply
    192,222.84x = 265,266.46 × 106,187.74
  4. Step 4: Simplify right side
    192,222.84x = 28,168,045,885.20
  5. Step 5: Solve for x
    x = 28,168,045,885.20/192,222.84
  6. Step 6: Final answer
    x = 146,538.50

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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.