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Finding the Fourth Proportional to 238,416.38, 329,018.24 and 130,988.50

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Solution

The fourth proportional to 238,416.38, 329,018.24 and 130,988.50 is: 180,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,416.38 : 329,018.24 = 130,988.50 : x
  2. Step 2: Convert to fraction form
    238,416.38/329,018.24 = 130,988.50/x
  3. Step 3: Cross multiply
    238,416.38x = 329,018.24 × 130,988.50
  4. Step 4: Simplify right side
    238,416.38x = 43,097,605,730.24
  5. Step 5: Solve for x
    x = 43,097,605,730.24/238,416.38
  6. Step 6: Final answer
    x = 180,766.13

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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.