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Finding the Fourth Proportional to 289,181.84, 433,793.03 and 89,475.93

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Solution

The fourth proportional to 289,181.84, 433,793.03 and 89,475.93 is: 134,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,181.84 : 433,793.03 = 89,475.93 : x
  2. Step 2: Convert to fraction form
    289,181.84/433,793.03 = 89,475.93/x
  3. Step 3: Cross multiply
    289,181.84x = 433,793.03 × 89,475.93
  4. Step 4: Simplify right side
    289,181.84x = 38,814,034,339.39
  5. Step 5: Solve for x
    x = 38,814,034,339.39/289,181.84
  6. Step 6: Final answer
    x = 134,220.17

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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.