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Finding the Fourth Proportional to 140,966.60, 211,485.90 and 99,494.60

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Solution

The fourth proportional to 140,966.60, 211,485.90 and 99,494.60 is: 149,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,966.60 : 211,485.90 = 99,494.60 : x
  2. Step 2: Convert to fraction form
    140,966.60/211,485.90 = 99,494.60/x
  3. Step 3: Cross multiply
    140,966.60x = 211,485.90 × 99,494.60
  4. Step 4: Simplify right side
    140,966.60x = 21,041,705,026.14
  5. Step 5: Solve for x
    x = 21,041,705,026.14/140,966.60
  6. Step 6: Final answer
    x = 149,267.31

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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.