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Finding the Fourth Proportional to 176,369.49, 243,321.30 and 99,871.02

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Solution

The fourth proportional to 176,369.49, 243,321.30 and 99,871.02 is: 137,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,369.49 : 243,321.30 = 99,871.02 : x
  2. Step 2: Convert to fraction form
    176,369.49/243,321.30 = 99,871.02/x
  3. Step 3: Cross multiply
    176,369.49x = 243,321.30 × 99,871.02
  4. Step 4: Simplify right side
    176,369.49x = 24,300,746,418.73
  5. Step 5: Solve for x
    x = 24,300,746,418.73/176,369.49
  6. Step 6: Final answer
    x = 137,783.16

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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.