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Finding the Fourth Proportional to 188,008.96, 281,762.88 and 99,241.60

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Solution

The fourth proportional to 188,008.96, 281,762.88 and 99,241.60 is: 148,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,008.96 : 281,762.88 = 99,241.60 : x
  2. Step 2: Convert to fraction form
    188,008.96/281,762.88 = 99,241.60/x
  3. Step 3: Cross multiply
    188,008.96x = 281,762.88 × 99,241.60
  4. Step 4: Simplify right side
    188,008.96x = 27,962,599,031.81
  5. Step 5: Solve for x
    x = 27,962,599,031.81/188,008.96
  6. Step 6: Final answer
    x = 148,730.14

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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.