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Finding the Fourth Proportional to 192,457.52, 265,580.62 and 106,411.52

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Solution

The fourth proportional to 192,457.52, 265,580.62 and 106,411.52 is: 146,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,457.52 : 265,580.62 = 106,411.52 : x
  2. Step 2: Convert to fraction form
    192,457.52/265,580.62 = 106,411.52/x
  3. Step 3: Cross multiply
    192,457.52x = 265,580.62 × 106,411.52
  4. Step 4: Simplify right side
    192,457.52x = 28,260,838,453.23
  5. Step 5: Solve for x
    x = 28,260,838,453.23/192,457.52
  6. Step 6: Final answer
    x = 146,841.96

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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.