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Finding the Fourth Proportional to 253,457.63, 349,747.78 and 151,462.78

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Solution

The fourth proportional to 253,457.63, 349,747.78 and 151,462.78 is: 209,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,457.63 : 349,747.78 = 151,462.78 : x
  2. Step 2: Convert to fraction form
    253,457.63/349,747.78 = 151,462.78/x
  3. Step 3: Cross multiply
    253,457.63x = 349,747.78 × 151,462.78
  4. Step 4: Simplify right side
    253,457.63x = 52,973,771,057.63
  5. Step 5: Solve for x
    x = 52,973,771,057.63/253,457.63
  6. Step 6: Final answer
    x = 209,004.45

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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.