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Finding the Fourth Proportional to 255,288.60, 382,973.42 and 77,754.44

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Solution

The fourth proportional to 255,288.60, 382,973.42 and 77,754.44 is: 116,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,288.60 : 382,973.42 = 77,754.44 : x
  2. Step 2: Convert to fraction form
    255,288.60/382,973.42 = 77,754.44/x
  3. Step 3: Cross multiply
    255,288.60x = 382,973.42 × 77,754.44
  4. Step 4: Simplify right side
    255,288.60x = 29,777,883,806.98
  5. Step 5: Solve for x
    x = 29,777,883,806.98/255,288.60
  6. Step 6: Final answer
    x = 116,644.00

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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.