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Finding the Fourth Proportional to 102,008.16, 140,772.03 and 56,690.38

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Solution

The fourth proportional to 102,008.16, 140,772.03 and 56,690.38 is: 78,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,008.16 : 140,772.03 = 56,690.38 : x
  2. Step 2: Convert to fraction form
    102,008.16/140,772.03 = 56,690.38/x
  3. Step 3: Cross multiply
    102,008.16x = 140,772.03 × 56,690.38
  4. Step 4: Simplify right side
    102,008.16x = 7,980,419,837.45
  5. Step 5: Solve for x
    x = 7,980,419,837.45/102,008.16
  6. Step 6: Final answer
    x = 78,233.15

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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.