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Finding the Fourth Proportional to 135,476.46, 186,955.17 and 75,045.84

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Solution

The fourth proportional to 135,476.46, 186,955.17 and 75,045.84 is: 103,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,476.46 : 186,955.17 = 75,045.84 : x
  2. Step 2: Convert to fraction form
    135,476.46/186,955.17 = 75,045.84/x
  3. Step 3: Cross multiply
    135,476.46x = 186,955.17 × 75,045.84
  4. Step 4: Simplify right side
    135,476.46x = 14,030,207,774.99
  5. Step 5: Solve for x
    x = 14,030,207,774.99/135,476.46
  6. Step 6: Final answer
    x = 103,561.96

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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.