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Finding the Fourth Proportional to 238,023.41, 328,461.41 and 130,591.22

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Solution

The fourth proportional to 238,023.41, 328,461.41 and 130,591.22 is: 180,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,023.41 : 328,461.41 = 130,591.22 : x
  2. Step 2: Convert to fraction form
    238,023.41/328,461.41 = 130,591.22/x
  3. Step 3: Cross multiply
    238,023.41x = 328,461.41 × 130,591.22
  4. Step 4: Simplify right side
    238,023.41x = 42,894,174,938.99
  5. Step 5: Solve for x
    x = 42,894,174,938.99/238,023.41
  6. Step 6: Final answer
    x = 180,209.90

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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.