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Finding the Fourth Proportional to 229,301.70, 343,261.35 and 201,653.70

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Solution

The fourth proportional to 229,301.70, 343,261.35 and 201,653.70 is: 301,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,301.70 : 343,261.35 = 201,653.70 : x
  2. Step 2: Convert to fraction form
    229,301.70/343,261.35 = 201,653.70/x
  3. Step 3: Cross multiply
    229,301.70x = 343,261.35 × 201,653.70
  4. Step 4: Simplify right side
    229,301.70x = 69,219,921,294.50
  5. Step 5: Solve for x
    x = 69,219,921,294.50/229,301.70
  6. Step 6: Final answer
    x = 301,872.69

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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.