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Finding the Fourth Proportional to 238,102.34, 328,580.96 and 130,672.64

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Solution

The fourth proportional to 238,102.34, 328,580.96 and 130,672.64 is: 180,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,102.34 : 328,580.96 = 130,672.64 : x
  2. Step 2: Convert to fraction form
    238,102.34/328,580.96 = 130,672.64/x
  3. Step 3: Cross multiply
    238,102.34x = 328,580.96 × 130,672.64
  4. Step 4: Simplify right side
    238,102.34x = 42,936,541,665.02
  5. Step 5: Solve for x
    x = 42,936,541,665.02/238,102.34
  6. Step 6: Final answer
    x = 180,328.10

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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.