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Finding the Fourth Proportional to 164,502.42, 227,017.71 and 99,949.74

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Solution

The fourth proportional to 164,502.42, 227,017.71 and 99,949.74 is: 137,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,502.42 : 227,017.71 = 99,949.74 : x
  2. Step 2: Convert to fraction form
    164,502.42/227,017.71 = 99,949.74/x
  3. Step 3: Cross multiply
    164,502.42x = 227,017.71 × 99,949.74
  4. Step 4: Simplify right side
    164,502.42x = 22,690,361,089.90
  5. Step 5: Solve for x
    x = 22,690,361,089.90/164,502.42
  6. Step 6: Final answer
    x = 137,933.30

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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.