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Finding the Fourth Proportional to 119,126.96, 178,306.50 and 65,735

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Solution

The fourth proportional to 119,126.96, 178,306.50 and 65,735 is: 98,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,126.96 : 178,306.50 = 65,735 : x
  2. Step 2: Convert to fraction form
    119,126.96/178,306.50 = 65,735/x
  3. Step 3: Cross multiply
    119,126.96x = 178,306.50 × 65,735
  4. Step 4: Simplify right side
    119,126.96x = 11,720,977,777.50
  5. Step 5: Solve for x
    x = 11,720,977,777.50/119,126.96
  6. Step 6: Final answer
    x = 98,390.64

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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.