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Finding the Fourth Proportional to 321,822.61, 482,737.47 and 97,184.95

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Solution

The fourth proportional to 321,822.61, 482,737.47 and 97,184.95 is: 145,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,822.61 : 482,737.47 = 97,184.95 : x
  2. Step 2: Convert to fraction form
    321,822.61/482,737.47 = 97,184.95/x
  3. Step 3: Cross multiply
    321,822.61x = 482,737.47 × 97,184.95
  4. Step 4: Simplify right side
    321,822.61x = 46,914,816,885.08
  5. Step 5: Solve for x
    x = 46,914,816,885.08/321,822.61
  6. Step 6: Final answer
    x = 145,778.50

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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.