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Finding the Fourth Proportional to 155,408.68, 233,136.06 and 56,905

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Solution

The fourth proportional to 155,408.68, 233,136.06 and 56,905 is: 85,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,408.68 : 233,136.06 = 56,905 : x
  2. Step 2: Convert to fraction form
    155,408.68/233,136.06 = 56,905/x
  3. Step 3: Cross multiply
    155,408.68x = 233,136.06 × 56,905
  4. Step 4: Simplify right side
    155,408.68x = 13,266,607,494.30
  5. Step 5: Solve for x
    x = 13,266,607,494.30/155,408.68
  6. Step 6: Final answer
    x = 85,365.94

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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.