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Finding the Fourth Proportional to 291,893.98, 402,798.04 and 164,561.36

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Solution

The fourth proportional to 291,893.98, 402,798.04 and 164,561.36 is: 227,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,893.98 : 402,798.04 = 164,561.36 : x
  2. Step 2: Convert to fraction form
    291,893.98/402,798.04 = 164,561.36/x
  3. Step 3: Cross multiply
    291,893.98x = 402,798.04 × 164,561.36
  4. Step 4: Simplify right side
    291,893.98x = 66,284,993,267.73
  5. Step 5: Solve for x
    x = 66,284,993,267.73/291,893.98
  6. Step 6: Final answer
    x = 227,085.85

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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.