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Finding the Fourth Proportional to 321,743.52, 482,603.08 and 97,098

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Solution

The fourth proportional to 321,743.52, 482,603.08 and 97,098 is: 145,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,743.52 : 482,603.08 = 97,098 : x
  2. Step 2: Convert to fraction form
    321,743.52/482,603.08 = 97,098/x
  3. Step 3: Cross multiply
    321,743.52x = 482,603.08 × 97,098
  4. Step 4: Simplify right side
    321,743.52x = 46,859,793,861.84
  5. Step 5: Solve for x
    x = 46,859,793,861.84/321,743.52
  6. Step 6: Final answer
    x = 145,643.32

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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.