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Finding the Fourth Proportional to 149,120.84, 223,494.12 and 89,193.62

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Solution

The fourth proportional to 149,120.84, 223,494.12 and 89,193.62 is: 133,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,120.84 : 223,494.12 = 89,193.62 : x
  2. Step 2: Convert to fraction form
    149,120.84/223,494.12 = 89,193.62/x
  3. Step 3: Cross multiply
    149,120.84x = 223,494.12 × 89,193.62
  4. Step 4: Simplify right side
    149,120.84x = 19,934,249,611.51
  5. Step 5: Solve for x
    x = 19,934,249,611.51/149,120.84
  6. Step 6: Final answer
    x = 133,678.50

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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.