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Finding the Fourth Proportional to 174,531, 261,796.50 and 56,214.30

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Solution

The fourth proportional to 174,531, 261,796.50 and 56,214.30 is: 84,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,531 : 261,796.50 = 56,214.30 : x
  2. Step 2: Convert to fraction form
    174,531/261,796.50 = 56,214.30/x
  3. Step 3: Cross multiply
    174,531x = 261,796.50 × 56,214.30
  4. Step 4: Simplify right side
    174,531x = 14,716,706,989.95
  5. Step 5: Solve for x
    x = 14,716,706,989.95/174,531
  6. Step 6: Final answer
    x = 84,321.45

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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.