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Finding the Fourth Proportional to 192,405.76, 265,525.60 and 107,523

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Solution

The fourth proportional to 192,405.76, 265,525.60 and 107,523 is: 148,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,405.76 : 265,525.60 = 107,523 : x
  2. Step 2: Convert to fraction form
    192,405.76/265,525.60 = 107,523/x
  3. Step 3: Cross multiply
    192,405.76x = 265,525.60 × 107,523
  4. Step 4: Simplify right side
    192,405.76x = 28,550,109,088.80
  5. Step 5: Solve for x
    x = 28,550,109,088.80/192,405.76
  6. Step 6: Final answer
    x = 148,384.90

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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.