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Finding the Fourth Proportional to 289,541.91, 434,206.13 and 99,954.03

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Solution

The fourth proportional to 289,541.91, 434,206.13 and 99,954.03 is: 149,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,541.91 : 434,206.13 = 99,954.03 : x
  2. Step 2: Convert to fraction form
    289,541.91/434,206.13 = 99,954.03/x
  3. Step 3: Cross multiply
    289,541.91x = 434,206.13 × 99,954.03
  4. Step 4: Simplify right side
    289,541.91x = 43,400,652,044.43
  5. Step 5: Solve for x
    x = 43,400,652,044.43/289,541.91
  6. Step 6: Final answer
    x = 149,894.20

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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.