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Finding the Fourth Proportional to 234,409.49, 323,466.01 and 137,603.00

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Solution

The fourth proportional to 234,409.49, 323,466.01 and 137,603.00 is: 189,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,409.49 : 323,466.01 = 137,603.00 : x
  2. Step 2: Convert to fraction form
    234,409.49/323,466.01 = 137,603.00/x
  3. Step 3: Cross multiply
    234,409.49x = 323,466.01 × 137,603.00
  4. Step 4: Simplify right side
    234,409.49x = 44,509,893,838.69
  5. Step 5: Solve for x
    x = 44,509,893,838.69/234,409.49
  6. Step 6: Final answer
    x = 189,880.93

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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.