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Finding the Fourth Proportional to 120,526.40, 180,854.40 and 50,412.80

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Solution

The fourth proportional to 120,526.40, 180,854.40 and 50,412.80 is: 75,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,526.40 : 180,854.40 = 50,412.80 : x
  2. Step 2: Convert to fraction form
    120,526.40/180,854.40 = 50,412.80/x
  3. Step 3: Cross multiply
    120,526.40x = 180,854.40 × 50,412.80
  4. Step 4: Simplify right side
    120,526.40x = 9,117,376,696.32
  5. Step 5: Solve for x
    x = 9,117,376,696.32/120,526.40
  6. Step 6: Final answer
    x = 75,646.30

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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.