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Finding the Fourth Proportional to 238,353.94, 328,658.88 and 152,199.64

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Solution

The fourth proportional to 238,353.94, 328,658.88 and 152,199.64 is: 209,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,353.94 : 328,658.88 = 152,199.64 : x
  2. Step 2: Convert to fraction form
    238,353.94/328,658.88 = 152,199.64/x
  3. Step 3: Cross multiply
    238,353.94x = 328,658.88 × 152,199.64
  4. Step 4: Simplify right side
    238,353.94x = 50,021,763,218.80
  5. Step 5: Solve for x
    x = 50,021,763,218.80/238,353.94
  6. Step 6: Final answer
    x = 209,863.38

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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.