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Finding the Fourth Proportional to 255,208.80, 382,868.54 and 77,711.16

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Solution

The fourth proportional to 255,208.80, 382,868.54 and 77,711.16 is: 116,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208.80 : 382,868.54 = 77,711.16 : x
  2. Step 2: Convert to fraction form
    255,208.80/382,868.54 = 77,711.16/x
  3. Step 3: Cross multiply
    255,208.80x = 382,868.54 × 77,711.16
  4. Step 4: Simplify right side
    255,208.80x = 29,753,158,370.91
  5. Step 5: Solve for x
    x = 29,753,158,370.91/255,208.80
  6. Step 6: Final answer
    x = 116,583.59

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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.