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Finding the Fourth Proportional to 289,245.51, 433,702.15 and 154,143.25

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Solution

The fourth proportional to 289,245.51, 433,702.15 and 154,143.25 is: 231,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,245.51 : 433,702.15 = 154,143.25 : x
  2. Step 2: Convert to fraction form
    289,245.51/433,702.15 = 154,143.25/x
  3. Step 3: Cross multiply
    289,245.51x = 433,702.15 × 154,143.25
  4. Step 4: Simplify right side
    289,245.51x = 66,852,257,463.37
  5. Step 5: Solve for x
    x = 66,852,257,463.37/289,245.51
  6. Step 6: Final answer
    x = 231,126.34

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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.