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Finding the Fourth Proportional to 194,578.60, 291,641.10 and 89,408.20

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Solution

The fourth proportional to 194,578.60, 291,641.10 and 89,408.20 is: 134,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,578.60 : 291,641.10 = 89,408.20 : x
  2. Step 2: Convert to fraction form
    194,578.60/291,641.10 = 89,408.20/x
  3. Step 3: Cross multiply
    194,578.60x = 291,641.10 × 89,408.20
  4. Step 4: Simplify right side
    194,578.60x = 26,075,105,797.02
  5. Step 5: Solve for x
    x = 26,075,105,797.02/194,578.60
  6. Step 6: Final answer
    x = 134,008.09

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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.