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Finding the Fourth Proportional to 169,411.56, 233,783.67 and 96,809.84

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Solution

The fourth proportional to 169,411.56, 233,783.67 and 96,809.84 is: 133,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,411.56 : 233,783.67 = 96,809.84 : x
  2. Step 2: Convert to fraction form
    169,411.56/233,783.67 = 96,809.84/x
  3. Step 3: Cross multiply
    169,411.56x = 233,783.67 × 96,809.84
  4. Step 4: Simplify right side
    169,411.56x = 22,632,558,518.39
  5. Step 5: Solve for x
    x = 22,632,558,518.39/169,411.56
  6. Step 6: Final answer
    x = 133,595.12

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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.