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Finding the Fourth Proportional to 169,347.84, 233,652.78 and 105,749.88

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Solution

The fourth proportional to 169,347.84, 233,652.78 and 105,749.88 is: 145,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,347.84 : 233,652.78 = 105,749.88 : x
  2. Step 2: Convert to fraction form
    169,347.84/233,652.78 = 105,749.88/x
  3. Step 3: Cross multiply
    169,347.84x = 233,652.78 × 105,749.88
  4. Step 4: Simplify right side
    169,347.84x = 24,708,753,446.67
  5. Step 5: Solve for x
    x = 24,708,753,446.67/169,347.84
  6. Step 6: Final answer
    x = 145,905.34

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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.