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Finding the Fourth Proportional to 308,033.60, 462,007.20 and 97,692.80

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Solution

The fourth proportional to 308,033.60, 462,007.20 and 97,692.80 is: 146,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,033.60 : 462,007.20 = 97,692.80 : x
  2. Step 2: Convert to fraction form
    308,033.60/462,007.20 = 97,692.80/x
  3. Step 3: Cross multiply
    308,033.60x = 462,007.20 × 97,692.80
  4. Step 4: Simplify right side
    308,033.60x = 45,134,776,988.16
  5. Step 5: Solve for x
    x = 45,134,776,988.16/308,033.60
  6. Step 6: Final answer
    x = 146,525.50

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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.