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Finding the Fourth Proportional to 180,161.57, 270,237.06 and 47,041.84

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Solution

The fourth proportional to 180,161.57, 270,237.06 and 47,041.84 is: 70,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,161.57 : 270,237.06 = 47,041.84 : x
  2. Step 2: Convert to fraction form
    180,161.57/270,237.06 = 47,041.84/x
  3. Step 3: Cross multiply
    180,161.57x = 270,237.06 × 47,041.84
  4. Step 4: Simplify right side
    180,161.57x = 12,712,448,116.35
  5. Step 5: Solve for x
    x = 12,712,448,116.35/180,161.57
  6. Step 6: Final answer
    x = 70,561.38

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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.