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Finding the Fourth Proportional to 234,024.40, 322,889.52 and 149,071.60

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Solution

The fourth proportional to 234,024.40, 322,889.52 and 149,071.60 is: 205,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,024.40 : 322,889.52 = 149,071.60 : x
  2. Step 2: Convert to fraction form
    234,024.40/322,889.52 = 149,071.60/x
  3. Step 3: Cross multiply
    234,024.40x = 322,889.52 × 149,071.60
  4. Step 4: Simplify right side
    234,024.40x = 48,133,657,369.63
  5. Step 5: Solve for x
    x = 48,133,657,369.63/234,024.40
  6. Step 6: Final answer
    x = 205,677.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.