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Finding the Fourth Proportional to 157,004, 235,448.40 and 51,791.84

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Solution

The fourth proportional to 157,004, 235,448.40 and 51,791.84 is: 77,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,004 : 235,448.40 = 51,791.84 : x
  2. Step 2: Convert to fraction form
    157,004/235,448.40 = 51,791.84/x
  3. Step 3: Cross multiply
    157,004x = 235,448.40 × 51,791.84
  4. Step 4: Simplify right side
    157,004x = 12,194,305,861.06
  5. Step 5: Solve for x
    x = 12,194,305,861.06/157,004
  6. Step 6: Final answer
    x = 77,668.76

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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.