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Finding the Fourth Proportional to 144,225.14, 216,337.86 and 37,609

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Solution

The fourth proportional to 144,225.14, 216,337.86 and 37,609 is: 56,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,225.14 : 216,337.86 = 37,609 : x
  2. Step 2: Convert to fraction form
    144,225.14/216,337.86 = 37,609/x
  3. Step 3: Cross multiply
    144,225.14x = 216,337.86 × 37,609
  4. Step 4: Simplify right side
    144,225.14x = 8,136,250,576.74
  5. Step 5: Solve for x
    x = 8,136,250,576.74/144,225.14
  6. Step 6: Final answer
    x = 56,413.54

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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.