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Finding the Fourth Proportional to 238,407.58, 329,008.26 and 130,984.57

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Solution

The fourth proportional to 238,407.58, 329,008.26 and 130,984.57 is: 180,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,407.58 : 329,008.26 = 130,984.57 : x
  2. Step 2: Convert to fraction form
    238,407.58/329,008.26 = 130,984.57/x
  3. Step 3: Cross multiply
    238,407.58x = 329,008.26 × 130,984.57
  4. Step 4: Simplify right side
    238,407.58x = 43,095,005,462.55
  5. Step 5: Solve for x
    x = 43,095,005,462.55/238,407.58
  6. Step 6: Final answer
    x = 180,761.89

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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.