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Finding the Fourth Proportional to 132,617.38, 183,014.32 and 72,189.76

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Solution

The fourth proportional to 132,617.38, 183,014.32 and 72,189.76 is: 99,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,617.38 : 183,014.32 = 72,189.76 : x
  2. Step 2: Convert to fraction form
    132,617.38/183,014.32 = 72,189.76/x
  3. Step 3: Cross multiply
    132,617.38x = 183,014.32 × 72,189.76
  4. Step 4: Simplify right side
    132,617.38x = 13,211,759,476.41
  5. Step 5: Solve for x
    x = 13,211,759,476.41/132,617.38
  6. Step 6: Final answer
    x = 99,623.14

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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.