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Finding the Fourth Proportional to 180,053.98, 270,075.16 and 53,695.27

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Solution

The fourth proportional to 180,053.98, 270,075.16 and 53,695.27 is: 80,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,053.98 : 270,075.16 = 53,695.27 : x
  2. Step 2: Convert to fraction form
    180,053.98/270,075.16 = 53,695.27/x
  3. Step 3: Cross multiply
    180,053.98x = 270,075.16 × 53,695.27
  4. Step 4: Simplify right side
    180,053.98x = 14,501,758,636.49
  5. Step 5: Solve for x
    x = 14,501,758,636.49/180,053.98
  6. Step 6: Final answer
    x = 80,541.17

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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.