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Finding the Fourth Proportional to 103,205, 154,809.42 and 29,334.92

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Solution

The fourth proportional to 103,205, 154,809.42 and 29,334.92 is: 44,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205 : 154,809.42 = 29,334.92 : x
  2. Step 2: Convert to fraction form
    103,205/154,809.42 = 29,334.92/x
  3. Step 3: Cross multiply
    103,205x = 154,809.42 × 29,334.92
  4. Step 4: Simplify right side
    103,205x = 4,541,321,950.95
  5. Step 5: Solve for x
    x = 4,541,321,950.95/103,205
  6. Step 6: Final answer
    x = 44,002.93

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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.