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Finding the Fourth Proportional to 192,104.68, 265,080 and 107,225.32

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Solution

The fourth proportional to 192,104.68, 265,080 and 107,225.32 is: 147,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,104.68 : 265,080 = 107,225.32 : x
  2. Step 2: Convert to fraction form
    192,104.68/265,080 = 107,225.32/x
  3. Step 3: Cross multiply
    192,104.68x = 265,080 × 107,225.32
  4. Step 4: Simplify right side
    192,104.68x = 28,423,287,825.60
  5. Step 5: Solve for x
    x = 28,423,287,825.60/192,104.68
  6. Step 6: Final answer
    x = 147,957.29

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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.