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Finding the Fourth Proportional to 135,291.38, 186,549.32 and 101,190.59

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Solution

The fourth proportional to 135,291.38, 186,549.32 and 101,190.59 is: 139,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,291.38 : 186,549.32 = 101,190.59 : x
  2. Step 2: Convert to fraction form
    135,291.38/186,549.32 = 101,190.59/x
  3. Step 3: Cross multiply
    135,291.38x = 186,549.32 × 101,190.59
  4. Step 4: Simplify right side
    135,291.38x = 18,877,035,754.90
  5. Step 5: Solve for x
    x = 18,877,035,754.90/135,291.38
  6. Step 6: Final answer
    x = 139,528.74

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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.