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Finding the Fourth Proportional to 289,248.76, 433,707.02 and 154,146.49

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Solution

The fourth proportional to 289,248.76, 433,707.02 and 154,146.49 is: 231,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,248.76 : 433,707.02 = 154,146.49 : x
  2. Step 2: Convert to fraction form
    289,248.76/433,707.02 = 154,146.49/x
  3. Step 3: Cross multiply
    289,248.76x = 433,707.02 × 154,146.49
  4. Step 4: Simplify right side
    289,248.76x = 66,854,414,821.36
  5. Step 5: Solve for x
    x = 66,854,414,821.36/289,248.76
  6. Step 6: Final answer
    x = 231,131.21

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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.