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Finding the Fourth Proportional to 169,549.04, 233,978.64 and 105,923.81

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Solution

The fourth proportional to 169,549.04, 233,978.64 and 105,923.81 is: 146,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,549.04 : 233,978.64 = 105,923.81 : x
  2. Step 2: Convert to fraction form
    169,549.04/233,978.64 = 105,923.81/x
  3. Step 3: Cross multiply
    169,549.04x = 233,978.64 × 105,923.81
  4. Step 4: Simplify right side
    169,549.04x = 24,783,909,007.42
  5. Step 5: Solve for x
    x = 24,783,909,007.42/169,549.04
  6. Step 6: Final answer
    x = 146,175.46

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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.