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Finding the Fourth Proportional to 132,554.34, 182,928.04 and 75,197.50

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Solution

The fourth proportional to 132,554.34, 182,928.04 and 75,197.50 is: 103,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,554.34 : 182,928.04 = 75,197.50 : x
  2. Step 2: Convert to fraction form
    132,554.34/182,928.04 = 75,197.50/x
  3. Step 3: Cross multiply
    132,554.34x = 182,928.04 × 75,197.50
  4. Step 4: Simplify right side
    132,554.34x = 13,755,730,642.59
  5. Step 5: Solve for x
    x = 13,755,730,642.59/132,554.34
  6. Step 6: Final answer
    x = 103,774.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.