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Finding the Fourth Proportional to 192,415.80, 265,618.10 and 147,095.68

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Solution

The fourth proportional to 192,415.80, 265,618.10 and 147,095.68 is: 203,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415.80 : 265,618.10 = 147,095.68 : x
  2. Step 2: Convert to fraction form
    192,415.80/265,618.10 = 147,095.68/x
  3. Step 3: Cross multiply
    192,415.80x = 265,618.10 × 147,095.68
  4. Step 4: Simplify right side
    192,415.80x = 39,071,275,039.81
  5. Step 5: Solve for x
    x = 39,071,275,039.81/192,415.80
  6. Step 6: Final answer
    x = 203,056.48

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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.