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Finding the Fourth Proportional to 192,502.54, 265,655.18 and 106,457.06

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Solution

The fourth proportional to 192,502.54, 265,655.18 and 106,457.06 is: 146,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,502.54 : 265,655.18 = 106,457.06 : x
  2. Step 2: Convert to fraction form
    192,502.54/265,655.18 = 106,457.06/x
  3. Step 3: Cross multiply
    192,502.54x = 265,655.18 × 106,457.06
  4. Step 4: Simplify right side
    192,502.54x = 28,280,869,436.57
  5. Step 5: Solve for x
    x = 28,280,869,436.57/192,502.54
  6. Step 6: Final answer
    x = 146,911.67

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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.