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Finding the Fourth Proportional to 321,902.70, 482,851.65 and 97,262.70

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Solution

The fourth proportional to 321,902.70, 482,851.65 and 97,262.70 is: 145,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,902.70 : 482,851.65 = 97,262.70 : x
  2. Step 2: Convert to fraction form
    321,902.70/482,851.65 = 97,262.70/x
  3. Step 3: Cross multiply
    321,902.70x = 482,851.65 × 97,262.70
  4. Step 4: Simplify right side
    321,902.70x = 46,963,455,178.46
  5. Step 5: Solve for x
    x = 46,963,455,178.46/321,902.70
  6. Step 6: Final answer
    x = 145,893.32

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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.