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Finding the Fourth Proportional to 238,420.40, 328,883.29 and 148,840.88

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Solution

The fourth proportional to 238,420.40, 328,883.29 and 148,840.88 is: 205,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,420.40 : 328,883.29 = 148,840.88 : x
  2. Step 2: Convert to fraction form
    238,420.40/328,883.29 = 148,840.88/x
  3. Step 3: Cross multiply
    238,420.40x = 328,883.29 × 148,840.88
  4. Step 4: Simplify right side
    238,420.40x = 48,951,276,284.38
  5. Step 5: Solve for x
    x = 48,951,276,284.38/238,420.40
  6. Step 6: Final answer
    x = 205,314.97

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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.