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Finding the Fourth Proportional to 137,568.16, 189,853.80 and 76,334.38

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Solution

The fourth proportional to 137,568.16, 189,853.80 and 76,334.38 is: 105,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,568.16 : 189,853.80 = 76,334.38 : x
  2. Step 2: Convert to fraction form
    137,568.16/189,853.80 = 76,334.38/x
  3. Step 3: Cross multiply
    137,568.16x = 189,853.80 × 76,334.38
  4. Step 4: Simplify right side
    137,568.16x = 14,492,372,113.64
  5. Step 5: Solve for x
    x = 14,492,372,113.64/137,568.16
  6. Step 6: Final answer
    x = 105,346.85

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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.