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Finding the Fourth Proportional to 103,137.40, 154,706.10 and 76,893.40

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Solution

The fourth proportional to 103,137.40, 154,706.10 and 76,893.40 is: 115,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,137.40 : 154,706.10 = 76,893.40 : x
  2. Step 2: Convert to fraction form
    103,137.40/154,706.10 = 76,893.40/x
  3. Step 3: Cross multiply
    103,137.40x = 154,706.10 × 76,893.40
  4. Step 4: Simplify right side
    103,137.40x = 11,895,878,029.74
  5. Step 5: Solve for x
    x = 11,895,878,029.74/103,137.40
  6. Step 6: Final answer
    x = 115,340.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.