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Finding the Fourth Proportional to 238,223.38, 328,748.92 and 130,800.37

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Solution

The fourth proportional to 238,223.38, 328,748.92 and 130,800.37 is: 180,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,223.38 : 328,748.92 = 130,800.37 : x
  2. Step 2: Convert to fraction form
    238,223.38/328,748.92 = 130,800.37/x
  3. Step 3: Cross multiply
    238,223.38x = 328,748.92 × 130,800.37
  4. Step 4: Simplify right side
    238,223.38x = 43,000,480,373.10
  5. Step 5: Solve for x
    x = 43,000,480,373.10/238,223.38
  6. Step 6: Final answer
    x = 180,504.87

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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.