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Finding the Fourth Proportional to 200,642.16, 300,962.84 and 48,838.04

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Solution

The fourth proportional to 200,642.16, 300,962.84 and 48,838.04 is: 73,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.16 : 300,962.84 = 48,838.04 : x
  2. Step 2: Convert to fraction form
    200,642.16/300,962.84 = 48,838.04/x
  3. Step 3: Cross multiply
    200,642.16x = 300,962.84 × 48,838.04
  4. Step 4: Simplify right side
    200,642.16x = 14,698,434,343.93
  5. Step 5: Solve for x
    x = 14,698,434,343.93/200,642.16
  6. Step 6: Final answer
    x = 73,256.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.