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Finding the Fourth Proportional to 101,075.82, 151,364.59 and 63,542.80

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Solution

The fourth proportional to 101,075.82, 151,364.59 and 63,542.80 is: 95,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,075.82 : 151,364.59 = 63,542.80 : x
  2. Step 2: Convert to fraction form
    101,075.82/151,364.59 = 63,542.80/x
  3. Step 3: Cross multiply
    101,075.82x = 151,364.59 × 63,542.80
  4. Step 4: Simplify right side
    101,075.82x = 9,618,129,869.45
  5. Step 5: Solve for x
    x = 9,618,129,869.45/101,075.82
  6. Step 6: Final answer
    x = 95,157.57

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Why These Related Problems?

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