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Finding the Fourth Proportional to 289,525.41, 434,181.38 and 99,937.53

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Solution

The fourth proportional to 289,525.41, 434,181.38 and 99,937.53 is: 149,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,525.41 : 434,181.38 = 99,937.53 : x
  2. Step 2: Convert to fraction form
    289,525.41/434,181.38 = 99,937.53/x
  3. Step 3: Cross multiply
    289,525.41x = 434,181.38 × 99,937.53
  4. Step 4: Simplify right side
    289,525.41x = 43,391,014,189.50
  5. Step 5: Solve for x
    x = 43,391,014,189.50/289,525.41
  6. Step 6: Final answer
    x = 149,869.45

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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.