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Finding the Fourth Proportional to 102,070.53, 140,857.38 and 59,055.89

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Solution

The fourth proportional to 102,070.53, 140,857.38 and 59,055.89 is: 81,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.53 : 140,857.38 = 59,055.89 : x
  2. Step 2: Convert to fraction form
    102,070.53/140,857.38 = 59,055.89/x
  3. Step 3: Cross multiply
    102,070.53x = 140,857.38 × 59,055.89
  4. Step 4: Simplify right side
    102,070.53x = 8,318,457,234.68
  5. Step 5: Solve for x
    x = 8,318,457,234.68/102,070.53
  6. Step 6: Final answer
    x = 81,497.15

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Why These Related Problems?

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