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Finding the Fourth Proportional to 129,323.67, 178,466.63 and 72,735

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Solution

The fourth proportional to 129,323.67, 178,466.63 and 72,735 is: 100,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,323.67 : 178,466.63 = 72,735 : x
  2. Step 2: Convert to fraction form
    129,323.67/178,466.63 = 72,735/x
  3. Step 3: Cross multiply
    129,323.67x = 178,466.63 × 72,735
  4. Step 4: Simplify right side
    129,323.67x = 12,980,769,969.38
  5. Step 5: Solve for x
    x = 12,980,769,969.38/129,323.67
  6. Step 6: Final answer
    x = 100,374.28

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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.