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Finding the Fourth Proportional to 253,468.26, 349,864.02 and 146,109.96

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Solution

The fourth proportional to 253,468.26, 349,864.02 and 146,109.96 is: 201,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,468.26 : 349,864.02 = 146,109.96 : x
  2. Step 2: Convert to fraction form
    253,468.26/349,864.02 = 146,109.96/x
  3. Step 3: Cross multiply
    253,468.26x = 349,864.02 × 146,109.96
  4. Step 4: Simplify right side
    253,468.26x = 51,118,617,967.64
  5. Step 5: Solve for x
    x = 51,118,617,967.64/253,468.26
  6. Step 6: Final answer
    x = 201,676.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.