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Finding the Fourth Proportional to 105,411.89, 145,467.95 and 57,013.88

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Solution

The fourth proportional to 105,411.89, 145,467.95 and 57,013.88 is: 78,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411.89 : 145,467.95 = 57,013.88 : x
  2. Step 2: Convert to fraction form
    105,411.89/145,467.95 = 57,013.88/x
  3. Step 3: Cross multiply
    105,411.89x = 145,467.95 × 57,013.88
  4. Step 4: Simplify right side
    105,411.89x = 8,293,692,245.15
  5. Step 5: Solve for x
    x = 8,293,692,245.15/105,411.89
  6. Step 6: Final answer
    x = 78,678.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.