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Finding the Fourth Proportional to 169,496.84, 233,808.42 and 105,723.88

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Solution

The fourth proportional to 169,496.84, 233,808.42 and 105,723.88 is: 145,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,496.84 : 233,808.42 = 105,723.88 : x
  2. Step 2: Convert to fraction form
    169,496.84/233,808.42 = 105,723.88/x
  3. Step 3: Cross multiply
    169,496.84x = 233,808.42 × 105,723.88
  4. Step 4: Simplify right side
    169,496.84x = 24,719,133,339.07
  5. Step 5: Solve for x
    x = 24,719,133,339.07/169,496.84
  6. Step 6: Final answer
    x = 145,838.31

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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.