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Finding the Fourth Proportional to 102,009.12, 140,835.30 and 65,773.15

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Solution

The fourth proportional to 102,009.12, 140,835.30 and 65,773.15 is: 90,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009.12 : 140,835.30 = 65,773.15 : x
  2. Step 2: Convert to fraction form
    102,009.12/140,835.30 = 65,773.15/x
  3. Step 3: Cross multiply
    102,009.12x = 140,835.30 × 65,773.15
  4. Step 4: Simplify right side
    102,009.12x = 9,263,181,312.20
  5. Step 5: Solve for x
    x = 9,263,181,312.20/102,009.12
  6. Step 6: Final answer
    x = 90,807.38

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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.