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Finding the Fourth Proportional to 253,458.25, 349,748.64 and 151,463.41

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Solution

The fourth proportional to 253,458.25, 349,748.64 and 151,463.41 is: 209,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,458.25 : 349,748.64 = 151,463.41 : x
  2. Step 2: Convert to fraction form
    253,458.25/349,748.64 = 151,463.41/x
  3. Step 3: Cross multiply
    253,458.25x = 349,748.64 × 151,463.41
  4. Step 4: Simplify right side
    253,458.25x = 52,974,120,782.89
  5. Step 5: Solve for x
    x = 52,974,120,782.89/253,458.25
  6. Step 6: Final answer
    x = 209,005.31

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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.