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Finding the Fourth Proportional to 176,551, 264,826.50 and 51,892

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Solution

The fourth proportional to 176,551, 264,826.50 and 51,892 is: 77,838

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,551 : 264,826.50 = 51,892 : x
  2. Step 2: Convert to fraction form
    176,551/264,826.50 = 51,892/x
  3. Step 3: Cross multiply
    176,551x = 264,826.50 × 51,892
  4. Step 4: Simplify right side
    176,551x = 13,742,376,738
  5. Step 5: Solve for x
    x = 13,742,376,738/176,551
  6. Step 6: Final answer
    x = 77,838

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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.