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Finding the Fourth Proportional to 104,580.63, 144,322.19 and 56,833.98

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Solution

The fourth proportional to 104,580.63, 144,322.19 and 56,833.98 is: 78,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,580.63 : 144,322.19 = 56,833.98 : x
  2. Step 2: Convert to fraction form
    104,580.63/144,322.19 = 56,833.98/x
  3. Step 3: Cross multiply
    104,580.63x = 144,322.19 × 56,833.98
  4. Step 4: Simplify right side
    104,580.63x = 8,202,404,460.02
  5. Step 5: Solve for x
    x = 8,202,404,460.02/104,580.63
  6. Step 6: Final answer
    x = 78,431.39

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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.