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Finding the Fourth Proportional to 120,371.32, 180,478.14 and 61,124.68

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Solution

The fourth proportional to 120,371.32, 180,478.14 and 61,124.68 is: 91,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,371.32 : 180,478.14 = 61,124.68 : x
  2. Step 2: Convert to fraction form
    120,371.32/180,478.14 = 61,124.68/x
  3. Step 3: Cross multiply
    120,371.32x = 180,478.14 × 61,124.68
  4. Step 4: Simplify right side
    120,371.32x = 11,031,668,554.50
  5. Step 5: Solve for x
    x = 11,031,668,554.50/120,371.32
  6. Step 6: Final answer
    x = 91,646.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.