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Finding the Fourth Proportional to 289,363.68, 434,061.90 and 99,832.77

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Solution

The fourth proportional to 289,363.68, 434,061.90 and 99,832.77 is: 149,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,363.68 : 434,061.90 = 99,832.77 : x
  2. Step 2: Convert to fraction form
    289,363.68/434,061.90 = 99,832.77/x
  3. Step 3: Cross multiply
    289,363.68x = 434,061.90 × 99,832.77
  4. Step 4: Simplify right side
    289,363.68x = 43,333,601,828.46
  5. Step 5: Solve for x
    x = 43,333,601,828.46/289,363.68
  6. Step 6: Final answer
    x = 149,754.81

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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.