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Finding the Fourth Proportional to 274,491.51, 411,770.47 and 96,962.19

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Solution

The fourth proportional to 274,491.51, 411,770.47 and 96,962.19 is: 145,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,491.51 : 411,770.47 = 96,962.19 : x
  2. Step 2: Convert to fraction form
    274,491.51/411,770.47 = 96,962.19/x
  3. Step 3: Cross multiply
    274,491.51x = 411,770.47 × 96,962.19
  4. Step 4: Simplify right side
    274,491.51x = 39,926,166,548.53
  5. Step 5: Solve for x
    x = 39,926,166,548.53/274,491.51
  6. Step 6: Final answer
    x = 145,455.01

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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.