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Finding the Fourth Proportional to 124,878.50, 187,317.94 and 51,006.50

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Solution

The fourth proportional to 124,878.50, 187,317.94 and 51,006.50 is: 76,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,878.50 : 187,317.94 = 51,006.50 : x
  2. Step 2: Convert to fraction form
    124,878.50/187,317.94 = 51,006.50/x
  3. Step 3: Cross multiply
    124,878.50x = 187,317.94 × 51,006.50
  4. Step 4: Simplify right side
    124,878.50x = 9,554,432,506.61
  5. Step 5: Solve for x
    x = 9,554,432,506.61/124,878.50
  6. Step 6: Final answer
    x = 76,509.83

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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.