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Finding the Fourth Proportional to 104,534.88, 144,259.14 and 56,789.16

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Solution

The fourth proportional to 104,534.88, 144,259.14 and 56,789.16 is: 78,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,534.88 : 144,259.14 = 56,789.16 : x
  2. Step 2: Convert to fraction form
    104,534.88/144,259.14 = 56,789.16/x
  3. Step 3: Cross multiply
    104,534.88x = 144,259.14 × 56,789.16
  4. Step 4: Simplify right side
    104,534.88x = 8,192,355,382.92
  5. Step 5: Solve for x
    x = 8,192,355,382.92/104,534.88
  6. Step 6: Final answer
    x = 78,369.59

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1.5x scale

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.