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Finding the Fourth Proportional to 180,838.40, 270,998.40 and 133,080.80

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Solution

The fourth proportional to 180,838.40, 270,998.40 and 133,080.80 is: 199,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,838.40 : 270,998.40 = 133,080.80 : x
  2. Step 2: Convert to fraction form
    180,838.40/270,998.40 = 133,080.80/x
  3. Step 3: Cross multiply
    180,838.40x = 270,998.40 × 133,080.80
  4. Step 4: Simplify right side
    180,838.40x = 36,064,683,870.72
  5. Step 5: Solve for x
    x = 36,064,683,870.72/180,838.40
  6. Step 6: Final answer
    x = 199,430.45

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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.