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Finding the Fourth Proportional to 192,502.78, 265,655.61 and 106,457.32

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Solution

The fourth proportional to 192,502.78, 265,655.61 and 106,457.32 is: 146,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,502.78 : 265,655.61 = 106,457.32 : x
  2. Step 2: Convert to fraction form
    192,502.78/265,655.61 = 106,457.32/x
  3. Step 3: Cross multiply
    192,502.78x = 265,655.61 × 106,457.32
  4. Step 4: Simplify right side
    192,502.78x = 28,280,984,283.57
  5. Step 5: Solve for x
    x = 28,280,984,283.57/192,502.78
  6. Step 6: Final answer
    x = 146,912.08

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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.