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Finding the Fourth Proportional to 201,692.90, 302,539.35 and 96,716.90

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Solution

The fourth proportional to 201,692.90, 302,539.35 and 96,716.90 is: 145,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692.90 : 302,539.35 = 96,716.90 : x
  2. Step 2: Convert to fraction form
    201,692.90/302,539.35 = 96,716.90/x
  3. Step 3: Cross multiply
    201,692.90x = 302,539.35 × 96,716.90
  4. Step 4: Simplify right side
    201,692.90x = 29,260,668,060.02
  5. Step 5: Solve for x
    x = 29,260,668,060.02/201,692.90
  6. Step 6: Final answer
    x = 145,075.35

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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.