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Finding the Fourth Proportional to 289,034.28, 433,689.66 and 102,133.80

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Solution

The fourth proportional to 289,034.28, 433,689.66 and 102,133.80 is: 153,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,034.28 : 433,689.66 = 102,133.80 : x
  2. Step 2: Convert to fraction form
    289,034.28/433,689.66 = 102,133.80/x
  3. Step 3: Cross multiply
    289,034.28x = 433,689.66 × 102,133.80
  4. Step 4: Simplify right side
    289,034.28x = 44,294,372,996.51
  5. Step 5: Solve for x
    x = 44,294,372,996.51/289,034.28
  6. Step 6: Final answer
    x = 153,249.55

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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.