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Finding the Fourth Proportional to 133,384.92, 200,133.54 and 58,466.40

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Solution

The fourth proportional to 133,384.92, 200,133.54 and 58,466.40 is: 87,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384.92 : 200,133.54 = 58,466.40 : x
  2. Step 2: Convert to fraction form
    133,384.92/200,133.54 = 58,466.40/x
  3. Step 3: Cross multiply
    133,384.92x = 200,133.54 × 58,466.40
  4. Step 4: Simplify right side
    133,384.92x = 11,701,087,603.06
  5. Step 5: Solve for x
    x = 11,701,087,603.06/133,384.92
  6. Step 6: Final answer
    x = 87,724.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.