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Finding the Fourth Proportional to 140,814.60, 210,833.10 and 109,710.60

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Solution

The fourth proportional to 140,814.60, 210,833.10 and 109,710.60 is: 164,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,814.60 : 210,833.10 = 109,710.60 : x
  2. Step 2: Convert to fraction form
    140,814.60/210,833.10 = 109,710.60/x
  3. Step 3: Cross multiply
    140,814.60x = 210,833.10 × 109,710.60
  4. Step 4: Simplify right side
    140,814.60x = 23,130,625,900.86
  5. Step 5: Solve for x
    x = 23,130,625,900.86/140,814.60
  6. Step 6: Final answer
    x = 164,262.98

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Why These Related Problems?

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