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Finding the Fourth Proportional to 192,562.86, 265,716.39 and 106,508.16

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Solution

The fourth proportional to 192,562.86, 265,716.39 and 106,508.16 is: 146,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,562.86 : 265,716.39 = 106,508.16 : x
  2. Step 2: Convert to fraction form
    192,562.86/265,716.39 = 106,508.16/x
  3. Step 3: Cross multiply
    192,562.86x = 265,716.39 × 106,508.16
  4. Step 4: Simplify right side
    192,562.86x = 28,300,963,780.74
  5. Step 5: Solve for x
    x = 28,300,963,780.74/192,562.86
  6. Step 6: Final answer
    x = 146,970.00

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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.