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Finding the Fourth Proportional to 185,502.84, 255,872.87 and 117,448.88

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Solution

The fourth proportional to 185,502.84, 255,872.87 and 117,448.88 is: 162,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,502.84 : 255,872.87 = 117,448.88 : x
  2. Step 2: Convert to fraction form
    185,502.84/255,872.87 = 117,448.88/x
  3. Step 3: Cross multiply
    185,502.84x = 255,872.87 × 117,448.88
  4. Step 4: Simplify right side
    185,502.84x = 30,051,980,137.28
  5. Step 5: Solve for x
    x = 30,051,980,137.28/185,502.84
  6. Step 6: Final answer
    x = 162,002.80

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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.