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Finding the Fourth Proportional to 483,104.14, 724,681.50 and 146,136.16

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Solution

The fourth proportional to 483,104.14, 724,681.50 and 146,136.16 is: 219,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,104.14 : 724,681.50 = 146,136.16 : x
  2. Step 2: Convert to fraction form
    483,104.14/724,681.50 = 146,136.16/x
  3. Step 3: Cross multiply
    483,104.14x = 724,681.50 × 146,136.16
  4. Step 4: Simplify right side
    483,104.14x = 105,902,171,633.04
  5. Step 5: Solve for x
    x = 105,902,171,633.04/483,104.14
  6. Step 6: Final answer
    x = 219,211.89

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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.