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Finding the Fourth Proportional to 97,378.34, 146,075.88 and 34,193.04

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Solution

The fourth proportional to 97,378.34, 146,075.88 and 34,193.04 is: 51,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,378.34 : 146,075.88 = 34,193.04 : x
  2. Step 2: Convert to fraction form
    97,378.34/146,075.88 = 34,193.04/x
  3. Step 3: Cross multiply
    97,378.34x = 146,075.88 × 34,193.04
  4. Step 4: Simplify right side
    97,378.34x = 4,994,777,634.75
  5. Step 5: Solve for x
    x = 4,994,777,634.75/97,378.34
  6. Step 6: Final answer
    x = 51,292.49

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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.