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Finding the Fourth Proportional to 104,524.64, 144,242.64 and 56,779.52

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Solution

The fourth proportional to 104,524.64, 144,242.64 and 56,779.52 is: 78,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,524.64 : 144,242.64 = 56,779.52 : x
  2. Step 2: Convert to fraction form
    104,524.64/144,242.64 = 56,779.52/x
  3. Step 3: Cross multiply
    104,524.64x = 144,242.64 × 56,779.52
  4. Step 4: Simplify right side
    104,524.64x = 8,190,027,862.73
  5. Step 5: Solve for x
    x = 8,190,027,862.73/104,524.64
  6. Step 6: Final answer
    x = 78,355.00

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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.